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Evaluate the following definite integral...

Evaluate the following definite integrals
`underset(0)overset(pi//2)int(1+sinx)^(3)cosxdx`

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To evaluate the definite integral \[ I = \int_{0}^{\frac{\pi}{2}} (1 + \sin x)^3 \cos x \, dx, \] we will use the substitution method. ...
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