(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

$$\int (sinx + 2cos x)^3dx$$

2. Relevant equations

3. The attempt at a solution

$$\int (sinx + 2cos x)^3dx$$

$$\int (sinx + 2cos x)((sinx + 2cos x)^2dx)$$

$$\int (sinx + 2cos x)(1 + 3cos^2x+2sin2x)dx$$

How to do this in simpler way?

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# Homework Help: ##\int (\sin x + 2\cos x)^3\,dx##

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