Home
Class 12
MATHS
int(1)/(sqrt(x+a)-sqrt(x+b))dx=...

`int(1)/(sqrt(x+a)-sqrt(x+b))dx=`

A

`(2)/(3(a-b))[(x+a)^(3//2)+(x+b)^(3//2)]+c`

B

`(2)/(3(a-b))[(x+a)^(3//2)-(x+b)^(3//2)]+c`

C

`(2)/(3(a+b))[(x+a)^(3//2)-(x=b)^(3//2)]+c`

D

`(2)/(3(a+b))[(x+a)^(3//2)+(x-b)^(3//2)]+c`

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)/(sqrt(x+a)-sqrt(x+b))dx

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

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

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

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

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

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

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

Evaluate: (i) int(5x+3)sqrt(2x-1)dx (ii) int(x)/(sqrt(x+a)-sqrt(x+b))dx

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