$\int sin\left(7x\right)sin\left(10x\right)dx$

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

$3x^2-3x+6-x+3$

$\frac{dy}{dx}+y=x,\:y\left(0\right)=6$

$\int\frac{\cos\left(\sqrt{x}\right)}{2\sqrt{x}}dx$

$\frac{1}{\tan\left(x\right)+\frac{1}{\tan\left(x\right)}}=\sin\left(x\right)\cos\left(x\right)$

$x^2-0x-100$