Integration: forgotten how to do int [sin(x)tan(x)] dx

[warsatan]

I'm taking differential equations, and I've forgotten how to do this intergral.

. . .\(\displaystyle \L\int\, \sin{(x)}\tan{(x)}\, dx\)

Can you help me out real quick? Thank you!

 

[stapel]

One method might be to convert to sines and cosines, and replace the "sin²(x)" with "1 - cos²(x)". Then split the result into the difference of two fractions, and integrate the terms separately.

Eliz.

 

[warsatan]

I approached with the method that you suggested but i'm having trouble intergrate 1/cos(x). any more hints?

 

[stapel]

That isn't one you'd memorized...? Sorry to have steered you wrong....

Try "Dave's Math Tables" for a worked explanation.

Eliz.

 

[warsatan]

I got it now. Thank you.