Help with Integrating Trig functions?? (1 Viewer)

[littlesmallworld]

Integrate sec^2(sinx)/secx
Thanks

 

[rumbleroar]

sec^2(sinx)/secx = sec^2(sinx)*cosx

If you notice how the expression inside sec^2(sinx) has its derivative (cosx) outside, and let u=sinx, its just an integral of sec^2(u) (if we let u = sinx) which is tan(u), or in this case, tan(sinx) + C