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 | 3^(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

Topper's Solved these Questions

  • INDEFINITE INTEGRALS

    AAKASH SERIES|Exercise EXERCISE -II|157 Videos

  • INDEFINITE INTEGRALS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|167 Videos

  • INDEFINITE INTEGRALS

    AAKASH SERIES|Exercise ADDITIONAL EXERCISE|16 Videos

  • HYPERBOLA

    AAKASH SERIES|Exercise Exercise|6 Videos

  • LOGARITHMIC SERIES

    AAKASH SERIES|Exercise EXERCISE - III|8 Videos

Similar Questions

Explore conceptually related problems

int (3^(x))/(sqrt(25 -9^(x))) dx =

int (3^(x))/(sqrt(16 + 9^(x))) dx =

int (1)/(sqrt(x)(x + 9)) dx =

Evaluate the integerals. int (3)/(sqrt(9x^(2) -1))dx on ((1)/(3), oo).

Evalute the following integrals int (x^(3))/( sqrt( x + 1)) dx

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

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

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

Evalute the following integrals int (1)/(sqrt(x^(2) - 3)) dx