$\int{x\over{x^2+3x-4}}dx$

Integration by partial fractions

$\int{e^x\over{e^{2x}-1}}dx$

$\int{2x^2+3\over{x(x-1)^2}}dx$

$\int{6x^2+15x-3\over{(x-1)^2(x+5)}}dx$

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