Home
Class 12
MATHS
int\ (tan^(-1)x - cot^(-1)x)/(tan^(-1)x ...

`int\ (tan^(-1)x - cot^(-1)x)/(tan^(-1)x + cot^(-1)x) \ dx` equals

A

`4/pixtan^(-1)x+2/pil n(1+x^(2))-x+c`

B

`4/pixtan^(-1)x-2/pil n(1+x^(2))+x+c`

C

`4/pixtan^(-1)x+2/pil n(1+x^(2))+x+c`

D

`4/pixtan^(-1)x-2/pil n(1+x^(2))-x+c`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRATION

    MOTION|Exercise EXERCISE - 1 (SECTION - D INTEGRATION BY PARTIAL FRACCTION)|4 Videos

  • INDEFINITE INTEGRATION

    MOTION|Exercise EXERCISE - 1 (SECTION - E MISCELLANEOUS SUBSTITUTION)|1 Videos

  • INDEFINITE INTEGRATION

    MOTION|Exercise EXERCISE - 1 (SECTION - B INTEGRATION BY SUBSTITUTION)|17 Videos

  • HYPERBOLA

    MOTION|Exercise EXERCISE-4 (Level-II)|17 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    MOTION|Exercise Exercise -4 Level -II|7 Videos

Similar Questions

Explore conceptually related problems

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

cot^(-1)x=tan^(-1)x then

int(tan^(-1)x cot^(-1)x)/(1+x^(2))dx

If y=(tan^(-1)x-cot^(-1)x)/(tan^(-1)x+cot^(-1)x) then (dy)/(dx)=

int(tan^(-1)x+cot^(-1)x)/(1+x^(2))dx

int x^(51)(tan^(-1)x+cot^(-1)x)dx=

If y=(tan^(-1)x-cot^(-1)x)/(tan^(-1)x+cot^(-1)x), find (dy)/(dx)]_(x=-1)0(b)1(c)2/ pi(d)-1

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

tan(cot^(-1)x) is equal to

tan^(-1)(cot x)-tan^(-1)(cot2x)=