# Find the integral of sin^2010 x/ 2010

## Homework Statement

$$\int\frac{sin^{2010}x}{2010}$$

## The Attempt at a Solution

All that I could do was to :
$$\frac{1}{2010^{2}}$$$$\int tan x$$dt

t=$$sin^{-1}$$$$t^{\frac{1}{2010}}$$
Just to clarify, you meant $$\int \frac{sin^{2010}x}{2010} dx$$ right?