$\int2\sqrt{x+4}dx$

$\left(2y-x\right)^2$

$\lim_{x\to0}\left(\frac{a^x+b^x}{2}\right)^{\frac{1}{x}}$

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

$x^3y'+5x^2y=3$

$\left(1-sin^2\left(x\right)\right)sin\left(y\right)+sin^2\left(x\right)sin\left(y\right)=sin\left(y\right)$

$\left(a+b\right)^2=a^2+3a^2b+3ab^2+b^2$