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

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

A

`(1)/(ab)log|(a-bx)/(a+bx)|+c`

B

`(1)/(ab)log|(a+bx)/(a-bx)|+c`

C

`(1)/(2ab)log|(a-bx)/(a+bx)|+c`

D

`(1)/(2ab)log|(a+bx)/(a-bx)|+c`

Text Solution

Verified by Experts

The correct Answer is:
D
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(dx)/(x^(2)-2x+2)=

The integral int(dx)/((a^(2)-b^(2)x^(2))^(3//2)) equals

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

If int(dx)/((a^(2)-b^(2)x^(2))^((3)/(2)))=(x)/(c sqrt(a^(2)-b^(2)x^(2)))+d ,then the value of "c" is equal to

int(dx)/(a^2+b^2cos^2x)=

If I=int (dx)/((a^(2)-b^(2)x^(2))^(3//2)) , then I equals

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

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