Home
Class 12
MATHS
If int e^(x)(1+x)sec^(2)(xe^(x))dx = f(x...

If `int e^(x)(1+x)sec^(2)(xe^(x))dx = f(x) +c` then f(x) equal to

A

cos(xe^(x))

B

sin(xe^(x))

C

`2 tan^(-1) x)`

D

tan(xe^(x))

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • HYPERBOLA

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|162 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|219 Videos

Similar Questions

Explore conceptually related problems

If int (e^(x)-1)/(e^(x)+1) dx = f(x) + c then f(x) =

int (e^(x) (1+x))/(sin^(2)(xe^(x))) dx =

If int e^(x) ((1-sinx)/(1-cos x)) dx = f(x) + c then f(x) =

int e^(3x)[3 tanx + sec^(2)x]dx =

If int (e^(x)(1+sinx))/(1+cosx) dx = e^(x) f(x) + c then f(x) =

int x.e^((x)^(2))dx =

If int (1)/(f(x))dx=log [ f(x)]^(2)+c , then f(x) is equal to:

Evaluate int(e^(x)(1+x))/(cos^(2)(xe^(x)))dx

int (√(tanx))/ (sin x cos x) dx = -f(x) =c, then f(x) =