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## Homework Statement

∫[sin

^{4}(t)cos

^{2}(t) + cos

^{4}(t)sin

^{2}(t)]dt

## The Attempt at a Solution

Is there any way to do this integral using a substitution, or do I need to just split it into two integrals and apply a very messy series of half-angle identities?

Thanks.