Solving \int tan^{4}(x)dx Without a Table

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how can i use u substitution to solve \int tan^{4}(x)dx?

I am not allowed to use a table, so i can't use the \int tan^{n}(u)du formula. I have no work since i can't even make it fit \int udu. help?
 
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Use the identity 1+\tan^2x=\sec^2x.
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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