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Integration of $\int_{0}^{D / 2} \frac{2 R^{2} x d x}{\left(R^{2}+x^{2}\right)^{2}}$ is
(A) $\frac{R^{2}}{R^{2}+D^{2}}$
(B) $\frac{4 R^{2}}{4 R^{2}+D^{2}}$
(C) $\frac{D^{2}}{R^{2}+D^{2}}$
(D) $\frac{D^{2}}{4 R^{2}+D^{2}}$


Question ID - 156478 | Toppr Answer

Integration of $\int_{0}^{D / 2} \frac{2 R^{2} x d x}{\left(R^{2}+x^{2}\right)^{2}}$ is
(A) $\frac{R^{2}}{R^{2}+D^{2}}$
(B) $\frac{4 R^{2}}{4 R^{2}+D^{2}}$
(C) $\frac{D^{2}}{R^{2}+D^{2}}$
(D) $\frac{D^{2}}{4 R^{2}+D^{2}}$

1 Answer - 5876 Votes

3537

Answer Key : (D) -

(D) $\frac{D^{2}}{4 R^{2}+D^{2}}$



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