Home
Class 12
MATHS
int(dx)/(sqrt(4-9x^(2)))=?...

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

Text Solution

Verified by Experts

The correct Answer is:
`=(1)/3 sin^(-1)((3x)/2)+C`.
Promotional Banner

Topper's Solved these Questions

  • INTEGRATION

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise SOLVED PROBLEMS|53 Videos
  • INTEGRATION

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise TEXTUAL EXERCISE -6A|29 Videos
  • HYPERBOLA

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise SAQ|2 Videos
  • MEASURES OF DISPERSION

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE|9 Videos

Similar Questions

Explore conceptually related problems

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

int(dx)/(sqrt(36-x^(2)))

int (1)/(sqrt(4-9x^(2))dx=

Find the following integrals: int(dx)/(x^(2)-16) (ii) int(dx)/(sqrt(2x-x^(2)))

Statement-I: int (dx)/(sqrt(9 -x^(2))) = sin^(-1) ((x)/(3)) + c Statement -II: int (" cos x dx ")/(sqrt(16 - sin^(2) x)) = sin^(-1)((sin x)/(4)) + c Which of the following s true ?

int_(sqrt2//3)^(sqrt(3)/3)(dx)/(sqrt(4-9x^(2)))=

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

int_(sqrt2//3)^(sqrt3//3)(dx)/(sqrt(4-9x^(2)))=(pi)/(36) II int_(-1)^(1)(1)/((1+x^(2))^(2))dx=(pi)/(4)+(1)/(2)