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## Homework Statement

Integral of [tex] \int \sin^{11/3}\alpha\, d\alpha [/tex]

## Homework Equations

[tex]\sin^2\alpha = 1 - cos^2\alpha [/tex]

## The Attempt at a Solution

[tex]\int (\sin^2\alpha)^{4/3}\sin\alpha \, d\alpha[/tex]

[tex]\int (1-cos^2\alpha)^{4/3}\sin\alpha \, d\alpha[/tex]

[tex]u = \cos\alphad[/tex]

[tex]du = \sin\alpha\, d\alpha [/tex]

[tex]\int (1-u^2)^{4/3} du [/tex]

i dont know what else to do. any hints or tips?

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