Home
Class 12
MATHS
int (dx)/(x^(2)+2x+2) = f(x)+c implies f...

`int (dx)/(x^(2)+2x+2) = f(x)+c implies f(x)`

A

`tan^(-1) (x+1)`

B

`2tan^(-1)(x+1)`

C

`-tan^(-1)(x+1)`

D

`3 tan^(-1) (x+1)`

Text Solution

Verified by Experts

The correct Answer is:
A
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

int sinx/(cos x (1+cos x)) dx = f(x) + c implies f(x) =

If int (e^(x)-1)/(e^(x)+1) 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) =

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

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

If int (e^(x)(1+sinx))/(1+cosx) 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 dx/((x+100)sqrt(x+99)) = f(x) + c then f(x) =

If int (1)/(x+x^(5)) dx = f(x) + c , then the value of int x^(4)/(x+x^(5)) dx is

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