Home
Class 12
MATHS
int(0)^((pi)/(2))(sqrt(sinx)dx)/(sqrt(si...

`int_(0)^((pi)/(2))(sqrt(sinx)dx)/(sqrt(sinx)+sqrtcosx)`

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • DEFINITE INTEGRAL

    CHHAYA PUBLICATION|Exercise EXERCISE 9B ( LONG ANSWER TYPE QUESTIONS )|17 Videos
  • DEFINITE INTEGRAL

    CHHAYA PUBLICATION|Exercise SAMPLE QUESTIONS FOR COMPETITIVE EXAMINATION ( MULTIPLE CORRECT ANSWER TYPE )|5 Videos
  • DEFINITE INTEGRAL

    CHHAYA PUBLICATION|Exercise EXERCISE 9B (VERY SHORT ANSWER TYPE QUESTIONS)|20 Videos
  • COORDINATE GEOMETRY

    CHHAYA PUBLICATION|Exercise JEE Advanced Archive (2016)|3 Videos
  • DEFINITE INTEGRAL AS AN AREA

    CHHAYA PUBLICATION|Exercise Assertion-Reason Type|2 Videos

Similar Questions

Explore conceptually related problems

Evaluate: int_(0)^((pi)/(2))(sqrt(cosx))/(sqrt(sinx)+sqrt(cosx))dx

By using the properties of definite integrals, evaluate the integrals int_(0)^(pi/2)(sqrt(sinx))/(sqrt(sinx)+sqrt(cosx))dx

int_0^(pi/2)(sqrt(sinx))/(sqrt(sinx)+sqrt(cosx)) dx

Evaluate of each of the following integrals int_(pi//6)^(pi//3)(sqrt("sin"x))/(sqrt(sinx)+sqrt(cosx))"d"x

int_(0)^((pi)/(4))(dx)/(1+sinx)

int_(0)^((pi)/(2))(cosxdx)/(1+sinx)

int_(0)^((pi)/(2))(sinx)/(sinx+cosx)dx

int_(0)^(pi)sqrt(1+sinx)dx

The value of int_(0)^((pi)/(2)) (2^(sinx)dx)/(2^(sinx)+2^(cosx)) is equal to -

int_(0)^((pi)/(2))(cosx-sinx)/(1+sinxcosx)dx