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int 0^1 (xe^x+sin(pi x/4))dx...

`int _0^1 (xe^x+sin(pi x/4))dx`

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To evaluate the integral \[ I = \int_0^1 \left( x e^x + \sin\left(\frac{\pi x}{4}\right) \right) dx, \] we can separate the integral into two parts: ...
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