Integrate int 1/(1+sin x)dx?

Elise Griffith

Elise Griffith

Answered question

2023-02-11

Integrate 11+sinxdx ?

Answer & Explanation

Anya Rice

Anya Rice

Beginner2023-02-12Added 9 answers

Solve the given integral
Given, 11+sinxdx
Numerator and denominator are multiplied by1-sinx we get ,
11+sinxdx=1-sinx1-sin2xdx
We know that,
sin2x+cos2x=1cos2x=1-sin2x
Now,
1-sinx1-sin2xdx=1-sinxcos2xdx
=1cos2x-sinxcosx×cosxdx
=sec2x-tanxsecxdx=tanx-secx+C
Hence, Integral 11+sinxdx is Integral tanx-secx+C.

saussito5cl

saussito5cl

Beginner2023-02-13Added 2 answers

thanks

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?