$\frac{dy}{dx}\left(y^3-2xy^2=x^3y+5x^2y^2-y\right)$

$6\cdot\left(5-3\right)+4\cdot\left(7-1\right)$

$50c^4-2c^2$

$\int_0^{\frac{\pi}{6}}\left[e^{4x}cos\:\left(3x\right)\right]\:dx$

$+4+4-10$

$\left(\frac{1}{2}x\:+\:\frac{1}{3}y^2\right)\:\left(\frac{1}{2}x\:-\:\frac{1}{3}y^2\right)$

$cosh\left(2x\right)=cosh^2\left(x\right)\:+sinh^2\left(x\right)$