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Evaluate int-1^1 sin^5x cos^4x dx...

Evaluate `int_-1^1 sin^5x cos^4x dx`

Text Solution

Verified by Experts

Let I = `int_-1^1 sin^5x cos^4x dx`
Let f(x) = `sin^5x cox^4x`. Then
`f(-x) = sin^5(-x) cos^4(-x)`
=`-sin^5x cos^4x = -f(x)`
i.e., f is an odd function.
Therefore, by property 8(ii), I = 0.
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