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Prove thatint0^(pi/2)sin^3xdx=2/3...

Prove that`int_0^(pi/2)sin^3xdx=2/3`

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To prove that \[ \int_0^{\frac{\pi}{2}} \sin^3 x \, dx = \frac{2}{3}, \] we will use the identity for \(\sin^3 x\) and then evaluate the integral step by step. ...
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