First slide

Evaluation of definite integrals

Question

The value of $\int_{- \sqrt{3}}^{\sqrt{3}} (\frac{d}{d x} (\tan^{- 1} \frac{1}{x}) + x^{3}) d x$ is

Easy

A

$π / 2$
B

$π / 4$
C

1
D

none of these

Solution

$g i v e n i n t e g r a n d e q u a l s - 2 \int_{0}^{\sqrt{3}} \frac{1}{1 + x^{2}} d x = - \frac{2 π}{3}$

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