Integrating Trigonometric Functions: Secant and Tangent

[jdawg]

Homework Statement

∫secxtan³x dx

Homework Equations

The Attempt at a Solution

∫secxtanx(tan²x) dx
∫secxtanx(sec²x-1) dx

Is u supposed to equal secx?

 

[Jtechguy21]

Du=Secxtanx
I like to rearrange my integral

∫(secx^2-1) secxtanx dx
------------(^ ^ Du^^)

Since you pulled out secxtanx as du.
and converted the remaining factors to secants.All you have to do now is
take the integral of
∫(secx^2-1) and that will be your answer

 

[jdawg]

Thanks

 

[Jtechguy21]

No problem! :)