Home
Class 12
MATHS
Evaluate: int((pi)/(4))^((pi)/(2))cos2...

Evaluate:
`int_((pi)/(4))^((pi)/(2))cos2xlog(sinx)dx`

Text Solution

Verified by Experts

The correct Answer is:
`(1)/(2)[-(pi)/(4)+(1)/(2)log2+(1)/(2)]`
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

Evaluate : int_(-(pi)/(2))^((pi)/(2))|sinx|dx

Evaluate: int_(pi/4)^((3pi)/4)dx/(1+cosx)

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

Fill in the blank : The value of int_(-(pi)/(2))^((pi)/(2))|sinx|dx is

Evaluate : int _(-(pi)/(2))^((pi)/(2))sqrt(cos x-cos^(3))x dx

Let I=int_((pi)/(4))^((pi)/(3))(sinx)/(x)dx . Then

Show that, int_(-(pi)/(2))^((pi)/(2))cos^(5)xdx=2int_(0)^((pi)/(2))cos^(5)xdx and find the value of int_(-(pi)/(2))^((pi)/(2))cos^(5)xdx .

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

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

Prove that, int_(-(pi)/(2))^((pi)/(2))cos^(3)xdx=2int_(0)^((pi)/(2))cos^(3)xdx , hence, find the value of int_(-(pi)/(2))^((pi)/(2))cos^(3)xdx