Home
Class 12
MATHS
Evaluate: int0^pi log(1+cosx)dx...

Evaluate: `int_0^pi log(1+cosx)dx`

Text Solution

Verified by Experts

The correct Answer is:
`=pi log 2`
Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    MODERN PUBLICATION|Exercise MISCELLANEOUS EXERCISE ON CHAPTER 7|43 Videos
  • INTEGRALS

    MODERN PUBLICATION|Exercise QUESTION FROM NCERT EXAMPLAR|6 Videos
  • INTEGRALS

    MODERN PUBLICATION|Exercise EXERCISE 7.7|9 Videos
  • DIFFERENTIAL EQUATIONS

    MODERN PUBLICATION|Exercise CHAPTER TEST (9)|12 Videos
  • INVERSE - TRIGONOMETRIC FUNCTIONS

    MODERN PUBLICATION|Exercise CHAPTER TEST (2)|11 Videos

Similar Questions

Explore conceptually related problems

Evaluate: int_0^pilog(1+cosx)dx

Evaluate: int_0^pi1/(1+e^(cosx))dx

Evaluate int_0^(pi/2)sinx.log cosx dx

Evaluate int_0^(pi/2)cosx/(1+cosx+sinx)dx

Evaluate int_0^(pi/2) (sinx-cosx)/(1+sinxcosx)dx

Evaluate: int_0^(200pi)sqrt(1+cosx\ )"dx"

Evaluate : int_(0)^(pi//2)(cosx)/((3cosx+sinx))dx .

Evaluate: int_0^pi(e^(cosx))/(e^(cosx)+e^(-cosx))dx

Evaluate: int_0^(pi//4)"log"(1+"t a n x")dx

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