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I've tried splitting it up into (cosx)(sinx)(sinx)^2, and then using various identities, but that's really long-winded. The shortness of the other questions in the exercise leads me to believe that there is a better way?
cos x is the derivative of sin x, so this is simply a reverse chain rule job, surely?
Because sinx differentiates to cosx, you just integrate (sinx)^3 to get ((sinx)^4)/4
It's not that long-winded is it?
but yeah, just do a simple substitution.
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