Home
Class 12
MATHS
int a^(x/2)/(sqrt(a^(-x) - a^(x))) dx =...

`int a^(x/2)/(sqrt(a^(-x) - a^(x))) dx =`

A

`1/loga sin^(-1) (a^(x)) + c`

B

`1/loga tan^(-1) (a^(x)) + c`

C

`2 sqrt(a^(-x) -a^(x)) + c`

D

`log (a^(x) - 1) + c`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • HYPERBOLA

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|162 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|219 Videos

Similar Questions

Explore conceptually related problems

int (dx)/sqrt(1+4x^(2)) .

int (10^(pi/2)dx)/(sqrt(10^(-x)-10^(x)) ) =

int (dx)/(sqrt(2ax-x^(2)) is :

int(dx)/(x+sqrt(x))=

int sqrt((1+x)/(1-x)) dx =

int (x)/(sqrt(x + 4)) dx .

int (sin^(-1) x)/(sqrt(1 - x^2)) dx .

int(1)/(sqrt(x^(2)+2x))dx