_ - 3 ^3 x^2 x 1 + x^6 ,dx = - Vidyadip

MCQ

$\int_{ - 3}^3 {\frac{{{x^2}\sin x}}{{1 + {x^6}}}\,dx = } $

A
$4$
B
$2$
✓
$0$
D
None of these

✓

Answer

Correct option: C.

$0$

c
(c) $ \int_{ - 3}^3 {\frac{{{x^2}\sin x}}{{1 + {x^6}}}} dx = 0$.

By the property of definite integral,

$\int_{ - a}^a {f(x)dx = 0} $, when $f(x) = - f( - x)$.

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