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Evaluate : int0^1x(1-x)^5dx...

Evaluate : `int_0^1x(1-x)^5dx`

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To evaluate the integral \( I = \int_0^1 x(1-x)^5 \, dx \), we can use the method of substitution and integration by parts. Here is a step-by-step solution: ### Step 1: Identify the integral We start with the integral: \[ I = \int_0^1 x(1-x)^5 \, dx \] ...
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