If f(x) = x^2 and g(x) = x, then f(x).g(x)dx = ? - Vidyadip

MCQ

If $f(x) = x^2$ and $g(x) =\sin x,$ then $ f(x).g(x)dx = $ ?

✓
$2x \sin x + 2cos \ x - x^2 \cos x + c$
B
$x \cos x + \sin \ x + c$
C
$2x \sin x - 2cos \ x - x^2 \cos x + c$
D
$- x \cos x + \sin x + c$

✓

Answer

Correct option: A.

$2x \sin x + 2cos \ x - x^2 \cos x + c$

$2x \sin x + 2cos \ x - x^2 \cos x + c$

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