$\log\left(x+3\right)-\log2=\log3$

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

$\lim_{x\to\infty}\left(\sqrt{n-2}-\sqrt{n-3}\right)$

$f\left(x\right)=\frac{\left(x+2\right)^{11}}{\left(4x-4\right)^{10}}$

$xy'-y=2x^2$

$x^2ydx=\left(y+1\right)dx$

$\lim_{x\to49}\:\frac{cos\left(xt\right)-cos\left(49t\right)}{2401-x^2}$