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junior college 2 | H2 Maths
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Please help to explain
The product cos x sin2 x contains an expression of the form
f’x times [f (x)] ^ n
Integrating this will get you [f (x)] ^ (n + 1).
Here, f (x) = sin x and its derivative is f’ (x) = cos x.
As a result, integrating the expression gets you sin3 x, along with a constant multiplier.
Try differentiating this result to see how the cos x comes about.
Will write this on paper for clarity by tonight if no one has written them yet.
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