Find the integral of sin^2010 x/ 2010

[xphloem]

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

Please help me futher!

 

[xphloem]

t=$$sin^{-1}$$$$t^{\frac{1}{2010}}$$

 

[Defennder]

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

Are you sure this isn't supposed to be a definite integral? Because otherwise the indefinite integral would take about forever to evaluate.