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Solving: $\int_0^1\frac{\ln(1-x)}{(1+x)}dx$

$\int_0^{\infty} \frac{1-\cos (\sqrt{e-1} x)}{x e^x} d x$

Solving: $\int_0^\infty{e^{-x^2}}dx$

Solving $\left|\int_0^\infty{\sin(x^2)}dx\right|$