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Exercise

$\int_0^1xln\left(x\right)dx$

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Final answer to the exercise

$\frac{1}{2}\cdot 1^2\ln\left|1\right|- \left(\frac{1}{2}\right)\cdot 0^2\ln\left|0\right|-\frac{1}{4}$

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$\int\frac{1}{\left(x^4+1\right)}dx$

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Main Topic: Integrals of Rational Functions

Integrals of rational functions of the form R(x) = P(x)/Q(x).

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