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## Homework Statement

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

## Homework Equations

## 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?