Evaluate the integral `int_0^(pi/2) sin^5x dx`
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Rylan Hills
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The integral `int_0^(pi/2) sin^5x dx` has to be determined.
`int sin^5x dx`
=> `int sinx*sin^4x dx`
=> `int sinx*(1 - cos^2x)^2 dx`
let `cos x = y` , `dy = -sin x dx`
=> `-int (1 -...
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