Find the integral of sin^2010 x/ 2010

1. May 26, 2008

xphloem

1. The problem statement, all variables and given/known data

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

3. The attempt at a solution

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

2. May 26, 2008

xphloem

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

3. May 26, 2008

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.