Home
Class 12
MATHS
If I(1)= int Sin^(-1)((2x)/(1+x^(2)))dx,...

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)= intTan^(-1)((2x)/(1-x^(2)))dx` then the value of `I_(1)+I_(2)-I_(3)=`

A

`2xTan^(-1)x-log(1+x^(2))+c`

B

`2[x Tan^(-1)x-log(1+x^(2))]|+c`

C

`2xTan^(-1)x+log(1+x^(2))+c`

D

0

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

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_(-1)^(1) Sin^(-1) ((x)/(1+x^(2)))dx=

If I_(1) = int_(1)^(2)(dx)/(sqrt(1+x^(2))) and I_(2)= int_(1)^(2) (dx)/(x) then

If I_(1) = int_(0)^(1) 2^(x^(2))dx, I_(2) = int_(0)^(1) 2^(x^(3))dx , I_(3) = int_(1)^(2) 2^(x^(2))dx, I_(4)=int_(1)^(2) 2^(x^(3))dx then

int (1+sin^(2)x)/(1+cos 2x)dx=

int (3x+1)/((x-1)^(2)(x+3))dx=

int_(-1)^(1)(sin^(-1)""(x)/(sqrt(1-x^(2)))+Cos^(-1)(x)/(sqrt(1-x^(2))))dx=

Evaluate int tan ^(-1)((2x)/(1-x^(2)))dx on I sub R \\{-1, 1}.

If I_(1) = int_(x)^(1) (1)/(1+t^(2))dt and I_(2)=int_(1)^(1/x) (1)/(1+t^(2))dt for x gt0 , then