$\int\frac{3x+2}{x^2\left(x+1\right)}dx$

$\frac{4x+13}{7}-1=\frac{3x-5}{10}$

$x^2+3<0$

$\int x^2e^{x^3}dx$

$\int\left(x\sqrt{4x^2+5}\right)dx$

$-56x\:-x$

$\frac{\left(\sec\left(x\right)\sec\left(x\right)\right)}{\tan\left(x\right)}=\sec\left(x\right)\csc\left(x\right)$