1. ## Integrate tan^2x

Not sure how to do this. How do I integrate tan^2x?

2. Derive the general reduction formula and you can use it for any power of tangent:

$\L\\\int{tan^{n}(x)}dx\\=\int{tan^{n-2}(x)tan^{2}(x)}dx\\=\int{tan^{n-2}(x)(sec^{2}(x)-1)}dx\\=\int{tan^{n-2}(x)sec^{2}(x)}dx-\int{tan^{n-2}(x)}dx\\=\frac{tan^{n-2}}{n-1}-\int{tan^{n-2}(x)}dx$

3. ## Re: Integrate tan^2x

Hello, dagr8est!

$\L\int\tan^2x\,dx\:=\:\int\left(\sec^2x\,-\,1)\,dx$

Can you finish it now?

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