$\int\frac{\left(3x+4\right)}{\left(3x^2+8x\right)^5}dx$

$\int_1^5\left(\frac{x^3}{3}+1\right)-\left(x-6\right)dx$

$\frac{dy}{dx}\:\left(y^{-1}\right)$

$\sqrt{25}-\sqrt[5]{32}$

$0.\:151$

$\lim_{x\to\infty}\left(\frac{x\cos\left(y\right)}{cosy+\left(xsiny\right)}\right)$

$sin2x=\frac{\sqrt{6}}{7}$