Home
Class 12
MATHS
int (0)^(pi//2) dx/(4cosx+9sinx)=...

`int _(0)^(pi//2) dx/(4cosx+9sinx)=`

A

`1/sqrt(97) log ((13-sqrt(97))/(13+sqrt(97)))`

B

`1/sqrt(97) log ((13+sqrt(97))/(13-sqrt(97)))`

C

`1/(2sqrt(97)) log ((13-sqrt(97))/(13+sqrt(97)))`

D

`1/(2sqrt(97)) log ((13+sqrt(97))/(13-sqrt(97)))`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|374 Videos

  • Differential Equation

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTION|277 Videos

Similar Questions

Explore conceptually related problems

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

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

int _(0)^(pi//2) (cosx)/(1+sinx)dx is equal to

int_(0)^(pi)(dx)/((5+4cosx))

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

int_(0)^(pi//2) e^x(sinx+cosx) dx

int_(0)^((pi)/2)(cos2x)/(cosx+sinx)dx=

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

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

int_(0)^(pi//2) cosx\ e^(sinx)\ dx is equal to