Integrating cos(x)/1+sin^2(x)dx - Methods & Tips

[mickellowery]

What method would I use to integrate cos(x)/1+sin^2(x)dx? I was thinking by parts but it isn't working for me.

 

[lugita15]

What method would I use to integrate cos(x)/1+sin^2(x)dx? I was thinking by parts but it isn't working for me.

Try a u substitution.

 

[elect_eng]

What method would I use to integrate cos(x)/1+sin^2(x)dx? I was thinking by parts but it isn't working for me.

Try a substitution. Notice that cos(x) is the derivative of sin(x).

 

[mickellowery]

Wouldn't the derivative of sin^2(x) be 2sin(x)cos(x)? I think I'm still a little lost.

 

[Live2Learn]

Try getting it into this format

$$\int \frac{du}{1+u^2}$$