$\int e^{8x}\cdot\cos\left(9x\right)dx$

$7x+7=105$

$\left(7a^2c+2\right)^2$

$\lim_{x\to\infty}\left(\sqrt[3]{6x^2-x^3}\right)$

$\lim_{x\to2}\left(\frac{x^2+3x+2}{x^2-4}\right)$

$\left(\frac{1}{5}a^3+\frac{2}{5}b^4\right)\left(\frac{1}{5}a^3+\frac{2}{5}b^4\right)$

$\int_0^{20}\left(\sin\left(0.14t\right)e^{-0.063t}\right)dx$