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$-e^{-x}\left(x^3-x^2+5 x-1\right)+C$

$e^{-x}\left(x^3-x^2+5 x-1\right)+C$

$e^{-x}\left(x^3+x^2+5 x+1\right)+C$

$-e^{-x}\left(x^3+x^2+5 x+1\right)+C$

$x \sec x+C$

$x \tan ^2 x+C$

$x \sec ^2 x+C$

$x \tan x+C$

$\frac{\left(\tan ^{-1} x\right)^2}{4}-\frac{x \tan ^{-1} x}{2\left(1+x^2\right)}+\frac{1-x^2}{4\left(1+x^2\right)}+C$

$\frac{\left(\tan ^{-1} x\right)^2}{4}-\frac{4 x \tan ^{-1} x+1-x^2}{8\left(1+x^2\right)}+C$

$\frac{\left(\tan ^{-1} x\right)^2}{4}-\frac{x \tan ^{-1} x}{\left(1+x^2\right)}-\frac{1-x^2}{4\left(1+x^2\right)}+C$

$\frac{(\tan x)^2}{4}+\frac{4 x \tan ^{-1} x-1+x^2}{4\left(1+x^2\right)}+C$