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

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

A

`Tan^(-1)(x+1)+c`

B

`2Tan^(-1)(x+1)+c`

C

`-Tan^(-1)(x+1)+c`

D

`3Tan^(-1)(x+1)+c`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1C|109 Videos

  • INDEFINITE INTEGRATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SET-1)|4 Videos

  • INDEFINITE INTEGRATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1A|164 Videos

  • HYPERBOLIC FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 {SPECIAL TYPE QUESTIONS} SET - 4|3 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET - 4)|5 Videos

Similar Questions

Explore conceptually related problems

If int (dx)/(x^(2) + 2x+ 2) = f(x) + c then f(x) =

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

int (1-cosx)"cosec"^(2)x dx=f(x)+c rArr f(x)=

I : int (dx)/(sqrt(x)(x+9))=f(x)+c constnat, then f(x)=(2)/(3)Tan^(-1)((sqrt(x))/(3)) II : int (dx)/((x+100)sqrt(x+99))=f(x) +c rArr f(x)=2 Tan^(-1)sqrt(x+99)

int (7x^(8)+8x^(7))/((1+x+x^(8))^(2))dx=f(x)+c rArr f(x)=

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

int (sqrt(cotx))/(sin xcos x)dx=-f (x)+c rArr f(x)=

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

If int e^(x) (x^(2) - 5x+ 8) " dx = " e^(x) f(x) + c then f(x) =