Home
Class 12
MATHS
int1/(sqrt((x-a)(x-b)))dx...

`int1/(sqrt((x-a)(x-b)))dx`

A

`log|x+(a+b)/(2)+sqrt(x^2+(a+b)x+ab)|+c`

B

`log|x-(a+b)/(2)+sqrt(x^2+(a+b)x+ab)|+c`

C

`log|x+(a-b)/(2)+sqrt(x^2+(a-b)x+ab)|+c`

D

`log|x-(a-b)/(2)+sqrt(x^2+(a-b)x+ab)|+c`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    NIKITA PUBLICATION|Exercise MCQ|559 Videos

  • LINE

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|127 Videos

Similar Questions

Explore conceptually related problems

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

int sqrt((x-a)(x-b))dx

Evaluate: (i) int1/(sqrt((x-1)(x-2)))\ dx (ii) int1/(sqrt(9+8x-x^2))\ dx

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

int1/(sqrt(2)+x)dx

int sqrt((x-a)(b-x))dx

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

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

Evaluate int1/(x(sqrt(ax-x^2)))dx