By using the properties of definite int...

By using the properties of definite integrals, evaluate the integrals`int_0^1x(1-x)^n dx`

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Given `int_0^(1)x(1−x)^ndx`
`Let t=1−x⇒dt=−dx`
When x=0⇒t=1
When x=1⇒t=0
...

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