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

`intsinx/(1+sinx)dx`

Text Solution

Verified by Experts

`I=intsinx/(1+sinx)dx`
=`int(1-1/(1+sinx))dx`
=`int[1-((1-sinx))/cos^2x]dx`
=`int(1-sec^2x+secxtanx)dx`
= x-tanx+secx+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

Integrate: int(sinx)/(sin4x)dx

Integrate: intcosx/(1+2sinx)dx

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

Integrat: int1/(sinx+sin2x)dx

Evaluate: overset(pi)underset(0)int x/(1+sinx)dx

Perform the integration: intCos^9x/(sinx)dx

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

Write the value of int_(0)^(pi//2)(sinx)/(sinx+cosx)dx