Home
Class 12
MATHS
Evaluate: int(0)^((pi)/(4))log(1+tanth...

Evaluate:
`int_(0)^((pi)/(4))log(1+tantheta)d theta`

Text Solution

Verified by Experts

The correct Answer is:
`(pi)/(8)log2`
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

Evalute: int_(0)^((pi)/(4)) log(1+tantheta)d theta .

int_(0)^((pi)/(4))tan^(3)thetad theta

int_(0)^((pi)/(2))log(tanx)dx=0

int_(0)^((pi)/(4))thetasec^(2)thetad theta

The value of int_(0)^((pi)/(4))tan^(2)thetad theta is-

Evaluate : int_0^(pi/4)log(1+tanx)dx .

The value of int_(0)^((pi)/(4))tanthetad theta is-

int_(0)^((pi)/(2))cos^(4)thetad theta

The value of int_(0)^((pi)/(8))cos^(3)4 theta d theta is equal to -

int_(0)^(pi)(sin4theta)/(sintheta)d theta=0