$\frac{12x+5}{4}-\frac{7x}{4}$

$\int_{-\infty\:}^0\sqrt[2]{x^2+4x\:+13}dx$

$\sin\left(3x\right)=4\cos^2\left(x\right)\cdot\sin\left(x\right)-\sin\left(x\right)$

$\int x^{\frac{7}{8}}dx$

$\frac{6x^5+3x^4-9}{3x^2}$

$\int\left(\frac{e^{5x}-1}{2e^{3x}}\right)dx$