Integrating Problem: Solve Questions Using Formula for \int [f(x)]^nf(x)

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The discussion revolves around solving the integral of the function tan(2x) using the formula for integrating powers of functions. Participants suggest rewriting tan(2x) as sin(2x)/cos(2x) and applying substitution for easier integration. There's a debate about whether the power law is the only method allowed, with an alternative suggestion to use Taylor Series for the solution. The integration problem's placement in a pre-calculus forum raises questions among users. Overall, the conversation emphasizes different approaches to tackle the integration problem effectively.
ngkamsengpeter
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Please help me to solve the following questions using \int [f(x)]^nf(x)=\frac{[f(x)]^{n+1}}{n+1}
\int tan {2x} dx
 
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What is an integration problem doing in the pre-calculus forum?

Anyway, try writing it as sin over cos, and then use a substitution.
 
Are you really asked to use only the power law? Well, I guess you could use Taylor Series.
 

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