Integral of sin(x)/cos(x)^2

[ns5032]

Homework Statement

I would just like some help on how to find the integral of:
sin(x) / cos(x)^2

Homework Equations

integration by parts?
uv-integral of v(du)

The Attempt at a Solution

I tried using integration of parts with u = cos(x)^2 and dv = sin(x) but I just got myself in a bigger mess.

I noticed that sin(x) / cos(x)^2 was equal to tan(x)sec(x). Not sure if that helps though...

Help please?!

 

[NanakiXIII]

I'd go for a substitution.

 

[R.Harmon]

Try the substitution cos(x)^2.

 

[rootX]

what's integral of [(-2*u)/(1-u^2)]/-2

or

try to see 1/x connection

 

[rock.freak667]

$$\int \frac{sinx}{cos^2x} dx$$

$$\equiv \int \frac{sinx}{cosx} \times \frac{1}{cosx}dx$$

What is another way to write $\frac{sinx}{cosx}$?
and similarly $\frac{1}{cosx}$?


Should be pretty standard after you see it.

 

[ns5032]

Got it. Thank you everyone.