Home
Class 12
MATHS
int(0)^(pi//2)(1)/(2+3sinx)dx=...

`int_(0)^(pi//2)(1)/(2+3sinx)dx=`

A

`(1)/(sqrt3)log|(5+sqrt5)/(5-sqrt5)|`

B

`(1)/(sqrt5)log|(5-sqrt5)/(5+sqrt5)|`

C

`(1)/(sqrt5)log|(5+sqrt5)/(5-sqrt5)|`

D

none

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1B|116 Videos
  • DEFINITE INTEGRATION

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

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUSTIONS) CHOOSE THE CORRECT ANSWER FROM THE ALTERNATIVES 1,2,3 OR 4 GIVEN (SET-4)|8 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)(cosx)/(1+sinx)dx=

int_(0)^(pi)(1)/(3+2sinx+cosx)dx=

Show that int_(0)^(pi//2) (x)/(sinx+cosx)dx=(pi)/(2sqrt(2))log (sqrt(2)+1) .

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

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

int_(0)^(pi)(1)/(1+3^(cosx))dx=

Evaluate the integrals . int_(0)^(pi//2) x^(2) sinx dx

Match the following. {:(I,int_(0)^(pi//2)sqrt(1-cos2x)dx=,(a),2),(II,int_(0)^(pi//2)sqrt(1+sin2x)dx=,(b),sqrt2),(III,int_(0)^(1)(x)/(1+x^(2))dx=,(c),log2),(IV,int_(0)^(pi//2)(cosx)/(1+sinx)dx=,(d),(1)/(2)log2):}