First slide

Evaluation of definite integrals

Question

The value of $\int_{- π / 4}^{π / 4} (x | x | + \sin^{3} x + x \tan^{2} x + 1) d x is$

Easy

A

0
B

1
C

$\frac{π}{2}$
D

$\frac{π}{4}$

Solution

$\int_{- π / 4}^{π / 4} d x = \frac{π}{2}$
Remaining integrands are odd functions, so that their integral value is zero

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