Home
Class 12
MATHS
Evaluate int(0)^((pi)/2)(sin^(n)xdx)/(si...

Evaluate `int_(0)^((pi)/2)(sin^(n)xdx)/(sin^(n)x+cos^(n)x)`

Text Solution

Verified by Experts

The correct Answer is:
`pi/4`
Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    NEW JOYTHI PUBLICATION|Exercise EXERCISE 7.1|22 Videos
  • INTEGRALS

    NEW JOYTHI PUBLICATION|Exercise EXERCISE 7.2|30 Videos
  • DIFFERENTIAL EQUATIONS

    NEW JOYTHI PUBLICATION|Exercise OBJECTIVE TYPE QUESTION|19 Videos
  • INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|9 Videos

Similar Questions

Explore conceptually related problems

Evaluate int_(0)^((pi)/(4))sin^(2)2xdx

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

Evaluate int_(0)^((pi)/(2))(xsinxcosxdx)/(sin^(4)x+cos^(4)x)

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

By using the properties of definite integrals, evaluate the integrals int_(0)^((pi)/(2))(sin^(5/2)xdx)/(sin^(5/2)x+cos^(5/2)x)

Evaluate: int_(0)^(pi//4)(sin^(3)x)/(cos^(5) x) dx

int_(0)^((pi)/(2))sin^5 xdx= .

By using the properties of definite integrals, evaluate the integrals int_(0)^((pi)/(2))(cos^(6)xdx)/(sin^(6)x+cos^(6)x)

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

Evaluate int_(0)^(2pi)x^2 sin 2xdx .