Home
Class 12
MATHS
int e^(Tan^(-1))((1+x+x^(2))/(1+x^(2)))d...

`int e^(Tan^(-1))((1+x+x^(2))/(1+x^(2)))dx=`

A

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

B

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

C

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

D

`1//x^(2)e^(Tan^(-1)x)+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 2 (SET-1)|4 Videos

  • INDEFINITE INTEGRATION

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

  • INDEFINITE INTEGRATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1B|132 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

int_(0)^(1)Tan^(-1)((2x)/(1-x^(2)))dx=

Evaluate the integerals. int e ^(x) (tan ^(-1)x + (1)/(1+ x ^(2)))dx, x in R.

If I_(1) int sin^(-1) ((2x)/(1 +x^(2)) ) dx , I_(2) = int cos^(-1) ((1-x^(2))/(1 +x^(2)) ) dx , I_(3) = int tan^(-1) ((2x)/(1 - x^(2)) ) dx , then I_(1) + I_(2) - I_(3) =

int Tan^(-1)((2x)/(1-x^(2)))dx=

int_(0)^(1) Tan^(-1) ((2x-1)/(1+x-x^(2)))dx=

int (x^(49)Tan^(-1) (x^(50)))/((1+x^(100)))dx=k (Tan^(-1)(x^(50))^(2)+c rArr k=

int_(0)^(1)Tan^(-1)[(2x-1)/(1+x-x^(2))]dx=