$\int\left(sin\right)^2\left(\pi x\right)\left(cos\right)^5\left(\pi x\right)dx$

$\int_0^{1.5}\frac{\left(1-\frac{x}{8}\right)^2}{0.144\cdot\:\:\left(0.4\cdot x-2.2\right)}dx$

$\frac{dy}{dx}=\frac{2y+5}{6x+7}$

$\left(4x^2+3x^5-2-3x^2\right)+\left(x^3-3x^2+1-x^2\right)$

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

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

$x^2+x+25$