Home
Class 12
MATHS
Evaluate: int(0)^((pi)/(2))(cosxdx)/((1+...

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

Text Solution

Verified by Experts

The correct Answer is:
`log|4/3|`
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRAL

    CHHAYA PUBLICATION|Exercise MCQ EXERCISE 9A|15 Videos

  • DEFINITE INTEGRAL

    CHHAYA PUBLICATION|Exercise VERY SHORT QUESTIONS|24 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

int_(0)^((pi)/(2))(cosxdx)/(1+sin^(2)x)

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

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

Evaluate: int_0^(pi/2)sin^3x cosxdx

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

int_(0)^((pi)/(2))(cosxdx)/((1+sinx)(2+sinx)(3+sinx))=(1)/(2)log.(32)/(27)

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

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

Evaluate int_(0)^(pi//2)|sinx-cosx|dx .

Evaluate: int_0^(pi/4)(sinx+cosx)/(9+16sin2x)dx