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If f(x) = x , g (x) = sinx , then int f(...

If f(x) = x , g (x) = sinx , then `int` f(g(x)) dx is equal to

A

sinx + c

B

`-cos x + c`

C

`(x^(2))/(2) + c`

D

`x sin x + c`

Text Solution

Verified by Experts

The correct Answer is:
B

`int f(g (x) ) dx = int f (sin x ) dx`
`= int sinx dx `
`= - cos x + c `
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