Home
Class 12
MATHS
If inte^(sinx)((xcos^(3)x-sinx)/(cos^(2)...

If `inte^(sinx)((xcos^(3)x-sinx)/(cos^(2)x))dx=e^(sinx)f(x)+c`,
where c is constant of integration, then `f(x)=`

A

(a) `secx-x`

B

(b) `x-secx`

C

(c) `tanx-x`

D

(d) `x-tanx`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

(sin3x-sinx)/(cos2x) =

If intxe^(2x)dx is equal to e^(2x)f(x)+c , where c is constant of integration, then f(x) is

int(sinx)/sqrt(4-cos^(2)x)dx=

inte^(x)((1-sinx)/(1-cosx))dx=

int_(0)^(pi//2)(sinx)/((1+cos^(2)x))dx

inte^(x)(sinx+cosx)dx=?

The integral int(sin^(2)xcos^(2)x)/(sin^(5)x+cos^(3)xsin^(2)x+sin^(3)xcos^(2)x+cos^(5)x)^(2)dx is equal to (where c is a constant of integration)

int_(0)^((pi)/2)(cos^(3)x)/(sinx+cosx)dx