SaraNextGen.Com
Updated By SaraNextGen
On March 11, 2024, 11:35 AM

Exercise 7.9 - Chapter 7 Integrals class 12 ncert solutions Maths - SaraNextGen [2024]


Question 1:

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7742/NCERT_Solution_Math_Chapter_7_final_html_m1067703e.gif

Answer:

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7742/NCERT_Solution_Math_Chapter_7_final_html_39473b81.gif

By second fundamental theorem of calculus, we obtain

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7742/NCERT_Solution_Math_Chapter_7_final_html_m5b213be6.gif

Question 2:

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7743/NCERT_Solution_Math_Chapter_7_final_html_480f9557.gif

Answer:

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7743/NCERT_Solution_Math_Chapter_7_final_html_51690e6.gif

By second fundamental theorem of calculus, we obtain

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7743/NCERT_Solution_Math_Chapter_7_final_html_303663d0.gif

Question 3:

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7745/NCERT_Solution_Math_Chapter_7_final_html_m70152f9b.gif

Answer:

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7745/NCERT_Solution_Math_Chapter_7_final_html_m20e8f6a9.gif

By second fundamental theorem of calculus, we obtain

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7745/NCERT_Solution_Math_Chapter_7_final_html_m35238a09.gif

Question 4:

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7746/NCERT_Solution_Math_Chapter_7_final_html_4ba6d54a.gif

Answer:

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7746/NCERT_Solution_Math_Chapter_7_final_html_m2e6c9f5f.gif

By second fundamental theorem of calculus, we obtain

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7746/NCERT_Solution_Math_Chapter_7_final_html_6256f83d.gif

Question 5:

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7747/Items%20179_html_1c52a724.gif

Answer:

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7747/Items%20179_html_608a452e.gif

By second fundamental theorem of calculus, we obtain

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7747/Items%20179_html_m3cd3c92d.gif

Question 6:

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7749/NCERT_Solution_Math_Chapter_7_final_html_426fe2e4.gif

Answer:

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7749/NCERT_Solution_Math_Chapter_7_final_html_m5c2222aa.gif

By second fundamental theorem of calculus, we obtain

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7749/NCERT_Solution_Math_Chapter_7_final_html_m6026a9a1.gif

Question 7:

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7751/NCERT_Solution_Math_Chapter_7_final_html_m38d7921f.gif

Answer:

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7751/NCERT_Solution_Math_Chapter_7_final_html_m4d2e837b.gif

By second fundamental theorem of calculus, we obtain

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7751/NCERT_Solution_Math_Chapter_7_final_html_m44340047.gif

Question 8:

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7752/NCERT_Solution_Math_Chapter_7_final_html_m1498ff3f.gif

Answer:

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7752/NCERT_Solution_Math_Chapter_7_final_html_m6da61a7.gif

By second fundamental theorem of calculus, we obtain

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7752/NCERT_Solution_Math_Chapter_7_final_html_m7c581a2d.gif

Question 9:

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7754/NCERT_Solution_Math_Chapter_7_final_html_m166e5b62.gif

Answer:

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7754/NCERT_Solution_Math_Chapter_7_final_html_m2b080397.gif

By second fundamental theorem of calculus, we obtain

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7754/NCERT_Solution_Math_Chapter_7_final_html_14d81098.gif

Question 10:

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7756/NCERT_Solution_Math_Chapter_7_final_html_m81460a9.gif

Answer:

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7756/NCERT_Solution_Math_Chapter_7_final_html_m4f2ac16.gif

By second fundamental theorem of calculus, we obtain

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7756/NCERT_Solution_Math_Chapter_7_final_html_m2c4074b2.gif

Question 11:

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7760/NCERT_Solution_Math_Chapter_7_final_html_682faf17.gif

Answer:

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7760/NCERT_Solution_Math_Chapter_7_final_html_61f2f3f1.gif

By second fundamental theorem of calculus, we obtain

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7760/NCERT_Solution_Math_Chapter_7_final_html_m2f2f6fbd.gif

Question 12:

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7762/Item%20186_html_407b64a3.gif

Answer:

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7762/Item%20186_html_7c21c7f5.gif

By second fundamental theorem of calculus, we obtain

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7762/Item%20186_html_m19730f06.gif

Question 13:

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7763/NCERT_Solution_Math_Chapter_7_final_html_79211595.gif

Answer:

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7763/NCERT_Solution_Math_Chapter_7_final_html_m9bd612c.gif

By second fundamental theorem of calculus, we obtain

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7763/NCERT_Solution_Math_Chapter_7_final_html_m45040b1.gif

Question 14:

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7764/NCERT_Solution_Math_Chapter_7_final_html_1c0733f6.gif

Answer:

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7764/NCERT_Solution_Math_Chapter_7_final_html_7b54546e.gif

By second fundamental theorem of calculus, we obtain

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7764/NCERT_Solution_Math_Chapter_7_final_html_mebefe21.gif

Question 15:

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7765/NCERT_Solution_Math_Chapter_7_final_html_6d91cb30.gif

Answer:

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7765/NCERT_Solution_Math_Chapter_7_final_html_m6ca16809.gif

By second fundamental theorem of calculus, we obtain

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7765/NCERT_Solution_Math_Chapter_7_final_html_m2160b3b9.gif

Question 16:

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7766/NCERT_Solution_Math_Chapter_7_final_html_1a209d0c.gif

Answer:

Let https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7766/NCERT_Solution_Math_Chapter_7_final_html_ma123791.gif

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7766/NCERT_Solution_Math_Chapter_7_final_html_m3e58e905.gif

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7766/NCERT_Solution_Math_Chapter_7_final_html_2453d8c5.gif

Equating the coefficients of x and constant term, we obtain

A = 10 and B = −25

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7766/NCERT_Solution_Math_Chapter_7_final_html_91e9a9d.gif

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7766/NCERT_Solution_Math_Chapter_7_final_html_90155e9.gif

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7766/NCERT_Solution_Math_Chapter_7_final_html_m9471e1f.gif

Substituting the value of I1 in (1), we obtain

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7766/NCERT_Solution_Math_Chapter_7_final_html_m6af71c41.gif

Question 17:

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7767/NCERT_Solution_Math_Chapter_7_final_html_62748c4f.gif

Answer:

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7767/NCERT_Solution_Math_Chapter_7_final_html_799ad7cb.gif

By second fundamental theorem of calculus, we obtain

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7767/NCERT_Solution_Math_Chapter_7_final_html_m160b5348.gif

Question 18:

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7769/Item%20192_html_m1a378172.gif

Answer:

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7769/Item%20192_html_3225002c.gif

By second fundamental theorem of calculus, we obtain

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7769/Item%20192_html_m58ae84a8.gif

Question 19:

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7771/Item%20193_html_24e76ff5.gif

Answer:

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7771/Item%20193_html_6ea94b8.gif

By second fundamental theorem of calculus, we obtain

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7771/Item%20193_html_17842141.gif

Question 20:

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7774/Item%20194_html_m53e235e1.gif

Answer:

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7774/Item%20194_html_662f5233.gif

By second fundamental theorem of calculus, we obtain

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7774/Item%20194_html_1dd66a6f.gif

Question 21:

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7777/NCERT_Solution_Math_Chapter_7_final_html_14e7e996.gif equals

A. https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7777/NCERT_Solution_Math_Chapter_7_final_html_m4e8d241e.gif

B. https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7777/NCERT_Solution_Math_Chapter_7_final_html_552167fc.gif

C. https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7777/NCERT_Solution_Math_Chapter_7_final_html_m217ed0f1.gif

D. https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7777/NCERT_Solution_Math_Chapter_7_final_html_m2fcd969f.gif

Answer:

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7777/NCERT_Solution_Math_Chapter_7_final_html_m4a2a6a82.gif

By second fundamental theorem of calculus, we obtain

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7777/NCERT_Solution_Math_Chapter_7_final_html_m6107f62f.gif

Hence, the correct Answer is D.

Question 22:

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7780/Item%20196_html_m45705453.gif equals

A. https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7780/Item%20196_html_m217ed0f1.gif

B. https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7780/Item%20196_html_m2fcd969f.gif

C. https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7780/Item%20196_html_m4b3990c3.gif

D. https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7780/Item%20196_html_m6201c3cd.gif

Answer:

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7780/Item%20196_html_39a413bc.gif

By second fundamental theorem of calculus, we obtain

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/236/7780/Item%20196_html_3ccb1065.gif

Hence, the correct Answer is C.

Also Read : Exercise-7.10-Chapter-7-Integrals-class-12-ncert-solutions-Maths

SaraNextGen