Home
Class 12
MATHS
int(1+sinx)/(1-sinx)dx...

`int(1+sinx)/(1-sinx)dx`

Text Solution

Verified by Experts

`I=int(1+sinx)/(1-sinx)dx`
=`int(1+sinx)^2/cos^2xdx`
=`int(sec^2x+tan^2x+2secxtanx)dx`
=`int(2sec^2x-1+2secxtanx)dx`
=2tanx-x+2secx+c
Promotional Banner

Topper's Solved these Questions

  • Elements of Mathematics

    MBD PUBLICATION|Exercise QUESTION BANK|48 Videos

  • INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

    MBD PUBLICATION|Exercise QUESTION BANK|40 Videos

Similar Questions

Explore conceptually related problems

Evaluate the following integrals int(5sinx)/(3-2sinx)dx

intsinx/(1+sinx)dx

Integrate: int(sinx)/(sin4x)dx

Evaluate the following integrals int(2cosx+7)/(4-sinx)dx

Prove that y=tan^(-1)sqrt((1+sinx)/(1-sinx))rArr(dy)/(dx)=1/2

int(sinx)/sin(x+alpha)dx

Differentiate tan^(-1) ((1+sinx)/(1-sinx))^(1/2) w.r.t. log((1+cosx)/(1-cosx)) .

Differentiate tan^(-1)((1+sinx)/(1-sinx))^(1/2) with respect to ((1+cosx)/(1-cosx)) .