_ ^ x x ;dx = - Vidyadip

MCQ

$\int_{}^{} {x\cos x\;dx = } $

✓
$x\sin x + \cos x$
B
$x\sin x - \cos x$
C
$x\cos x + \sin x$
D
$x\cos x - \sin x$

✓

Answer

Correct option: A.

$x\sin x + \cos x$

a
(a)$\int_{}^{} {x\cos x\,dx} = x\sin x - \int_{}^{} {\sin x\,dx + c} = x\sin x + \cos x + c$.

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