Home
Class 12
MATHS
int(0)^(pi//2)log(cosx)dx=...

`int_(0)^(pi//2)log(cosx)dx=`

A

`(pi)/(2)log2`

B

`-(pi)/(2)log2`

C

`-(pi)/(2)2log2`

D

none

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1C|33 Videos

  • DEFINITE INTEGRATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1D|32 Videos

  • DEFINITE INTEGRATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1A|91 Videos

  • DE MOIVRE'S THEOREM

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET-4|3 Videos

  • DIFFERENTIAL EQUATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 2|15 Videos

Similar Questions

Explore conceptually related problems

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

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

If f(x)=|{:(cosx,1,0),(1,2cosx,1),(0,1,2cosx):}|" then "int_(0)^(pi//2)f(x)dx=

Show that int_(0)^(pi//2) log (sin x) dx = - pi/2 log 2

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

int_(0)^(pi//4)log(1+tanx)dx=

If int_(0)^(pi//2) ln (sin x) dx= - pi/2 ln 2 then int_(0)^(pi) ln (1+ cos x) dx=

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

Evaluate the integral int_(0)^(pi//4) log(1+tanx)dx