Home
Class 12
MATHS
int (1)/((x^(2)+9)sqrt(x^(2)-9))dx=...

`int (1)/((x^(2)+9)sqrt(x^(2)-9))dx=`

A

`(1)/(8sqrt(2))log|(sqrt(2)-x-sqrt(x^(2)-9))/(sqrt(2)x-sqrt(x^(2)-9))|+c`

B

`(1)/(18sqrt(2))log|(sqrt(2)+x-sqrt(x^(2)-9))/(sqrt(2)x-sqrt(x^(2)-9))|+c`

C

`(1)/(18sqrt(2))log|(sqrt(2)+x-sqrt(x^(2)+9))/(sqrt(2)x-sqrt(x^(2)-9))|-c`

D

none

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1C|109 Videos

  • INDEFINITE INTEGRATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SET-1)|4 Videos

  • INDEFINITE INTEGRATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1A|164 Videos

  • HYPERBOLIC FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 {SPECIAL TYPE QUESTIONS} SET - 4|3 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET - 4)|5 Videos

Similar Questions

Explore conceptually related problems

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

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

Evalute the following integrals int (x^2)/((x^(2) + 4)(x^(2) + 9)) dx

int(x)/((x^(2)+4)(x^(2)+9))dx

int_(1//2)^(1) (1)/(sqrt(x-x^(2)))dx=

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

The value of the expression (int_(0)^(a)x^(4)sqrt(a^(2)-x^(2))dx)/(int_(0)^(a)x^(2)sqrt(a^(2)-x^(2))dx)=