Home
Class 12
MATHS
int(3^(x))/(sqrt(9^(x)-1))dx=...

`int(3^(x))/(sqrt(9^(x)-1))dx=`

A

`(1)/(log 3)log |3^x+sqrt(9^x-1)|+C`

B

`(1)/(log 3)log |9^x+sqrt(9^x-1)|+C`

C

`(1)/(log 9)log |3^x+sqrt(9^x-1)|+C`

D

`(1)/(log 9)log |3^x-sqrt(9^x-1)|+C`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

int(3^(x))/(sqrt(1-9^(x)))dx

int(3x^(2))/(sqrt(9-16x^(6)))dx

int(x^(7/2))/(sqrt(x^(9)+1))dx

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

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

int(x)/(sqrt(9-x^(2)))dx

int(x)/(sqrt(9-x^(4)))dx

int(3x-1)/(sqrt(x^(2)+9))dx

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

int(x+3)/(sqrt(9-x^(2)))dx