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

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

A

`sin x+C`

B

`-cosx+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=intf(sinx)dx=int sin x dx=-cos x+C`
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