Home
Class 12
MATHS
int(dx)/(sqrt(9-25x^(2)))...

`int(dx)/(sqrt(9-25x^(2)))`

A

`sin^(-1)((5x)/(3))+c`

B

`(1)/(5)sin^(-1)((5x)/(3))+c`

C

`(1)/(6)log ((3+5x)/(3-5x))+c`

D

`(1)/(30)log ((3+5x)/(3-5x))+c`

Text Solution

Verified by Experts

The correct Answer is:
B

`(1)/(5) sin^(-1)((5x)/3)+c`
Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER 2019

    XII BOARDS PREVIOUS YEAR|Exercise Fill in the blanks|3 Videos
  • SAMPLE PAPER 2019

    XII BOARDS PREVIOUS YEAR|Exercise Fill in the blanks 14A|1 Videos
  • QUESTION PAPER 2023

    XII BOARDS PREVIOUS YEAR|Exercise Question|45 Videos
  • XII Boards

    XII BOARDS PREVIOUS YEAR|Exercise All Questions|263 Videos

Similar Questions

Explore conceptually related problems

int(dx)/(sqrt(9-4x^(2)))

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

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

int(dx)/(sqrt(9x^(2)-4))

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

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

Evaluate: (i) int(1)/(sqrt(9-25x^(2)))dx (ii) int(1)/(sqrt(16x^(2)+25))dx

int((1)/(sqrt(9-25x^(2))))dx

int (dx)/(sqrt(9x^(2)+16))

int(dx)/(sqrt(4-9x^(2)))=?