int(cos^(3)x)e^(log(sinx))dx=...

`int(cos^(3)x)e^(log(sinx))dx=`

A

`-(sin^(4)x)/(4)+c`

B

`-(cos^(4)x)/(4)+c`

C

`(e^(sinx))/(4)+c`

D

`(sin^(4)x)/(4)+c`

Text Solution

Verified by Experts

The correct Answer is:

B

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Knowledge Check

int cos^(3)x.e^(log(sin x)) dx is equal to

A

`-(sin^(4)x)/(4)+c`

B

`-(cos^(4)x)/(4)+c`

C

`-(esin^(4)x)/(4)+c`

D

None of these

If int(f(x))/(log(sinx))dx=log[log sinx]+c , then f(x) is equal to

A

`cot x`

B

`tanx`

C

`sec x`

D

`"cosec x"`

If : int(cos^(3)x)/(sin^(2)x+sinx)dx=log|f(x)|-f(x)+c, then : f(x)=

A

`sinx`

B

`cos x`

C

`tanx`

D

`cotx`

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