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))`

B

`(1)/(loga).tan^(-1)(a^(x))`

C

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

D

`cos^(-1)(a^(x))`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • INTEGRATION - INDEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (PREVIOUS YEARS MHT-CET EXAM QUESTIONS)|13 Videos

  • INTEGRATION - INDEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|45 Videos

  • INTEGRATION - INDEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|45 Videos

  • INTEGRATION - DEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|20 Videos

  • LINE IN SPACE

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|44 Videos

Similar Questions

Explore conceptually related problems

int(x^(2))/(sqrt(x^(6)+2x^(3)+2))dx

int(3-2x)/(sqrt((2-x)(1+x)))dx

Evaluate: int(x^(2))/(sqrt(1-2x-x^(2)))dx

int(2x)/(sqrt(1-x^(2)-x^(4)))dx=

Evaluate: (i) int(a^(x))/(sqrt(1-a^(2x)))dx (ii) int(2x)/(sqrt(1-x^(2)-x^(4)))dx

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

int(2x)/(sqrt(1-x^(2)-x^(4)))dx

int(2x+2)/(sqrt(x^(2)-4x-5))dx=

int(sec^(2)2x)/(sqrt(cot x-tan x))dx=

"If " (d)/(dx)f(x)=f'(x), " then " int(xf'(x)-2f(x))/(sqrt(x^(4)f(x)))dx is equal to