Home
Class 12
MATHS
If int(1)/(sqrt(9-16x^(2)))dx=alphasin^(...

If `int(1)/(sqrt(9-16x^(2)))dx=alphasin^(-1)(betax)+c`, then `alpha+(1)/(beta)=`

A

1

B

`(7)/(12)`

C

`(19)/(12)`

D

`(9)/(12)`

Text Solution

Verified by Experts

The correct Answer is:
A
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(1)/(sqrt(1-16x^(2)))

if int (1)/(sqrt(9-16x^(2)))dx=alpha sin ^(-1) (beta x) +c. then alpha +(1)/(beta )=

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

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

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

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

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

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

If int 1/sqrt(9-16x^(2)) dx = a sin^(-1) (bx) +c , then 4a+3b=

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