Home
Class 12
MATHS
int(0)^((pi)/(4))(dx)/(9cos^2 x +sin^2x)...

`int_(0)^((pi)/(4))(dx)/(9cos^2 x +sin^2x)`.

Text Solution

Verified by Experts

The correct Answer is:
`(1)/(3)tan^(-1)((1)/(3))`
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF INTEGRATION

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE (CHOOSE THE CORRECT ANSWER) :|45 Videos

  • APPLICATIONS OF DIFFERENTIAL CALCULUS

    PREMIERS PUBLISHERS|Exercise Problems For Practice (Answer the following question)|39 Videos

  • APPLICATIONS OF MATRICES AND DETERMINANTS

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE (II. Answer the following)|15 Videos

Similar Questions

Explore conceptually related problems

Evaluate int_(0)^((pi)/(2))(dx)/(4 sin^2 x +9 cos^2 x) .

Evaluate the following : int_(0)^((pi)/(2)) (dx)/( 5+4 sin^(2) x )

Evaluate int_(0)^((pi)/(2)) (sinx)/(4+cos^2 x)dx .

Evaluate int_(0)^((pi)/(2)) ( sin x )/( 9 +cos^(2)x) dx

int_(0)^(pi/2) (sin x dx)/(1+ cos^2 x ) is

Evaluate the definite integrals int_(0)^((pi)/(2))(cos^(2)xdx)/(cos^(2)x+4sin^(2)x)

Evaluate the definite integrals int_(0)^((pi)/(4))(sinx+cosx)/(9+16sin2x)dx

Evaluate int_(0)^((pi)/(2))(sin^3x)/(sin^3 x+cos^3 x)dx .