Home
Class 12
MATHS
int Sin^(-1)((2x)/(1+x^(2)))dx=f(x)-log ...

`int Sin^(-1)((2x)/(1+x^(2)))dx=f(x)-log (1+x^(2))+c rArr f(x)=`

A

`2xTan^(-1)x`

B

`-2xTan^(-1)x`

C

`xTan^(-1)x`

D

`-xTan^(-1)x`

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 e^(x)( log x+(1)/(x^(2)))dx=

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

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

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

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

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

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