Home
Class 12
MATHS
int (1+xtanx)^(-2) dx = 1/(x+f(x))+c the...

`int (1+xtanx)^(-2) dx = 1/(x+f(x))+c` then f(x) =

A

x tan x

B

cot x

C

tan x

D

x cot x

Text Solution

Verified by Experts

The correct Answer is:
B
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) =

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

int ((3-x^(2))e^(x))/(1-2x+x^(2)) dx = e^(x).f(x) + c, then f(x) =

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

int sin^(-1)((2x)/(1+x^(2))) dx = f(x) - log (1+x^(2)) +c then f(x) =

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

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

int dx/((x+100)sqrt(x+99)) = f(x) + c then f(x) =

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

int f(x) dx = g(x) , then int f(x)g(x) dx =