$\lim_{x\to1}\frac{9\sin\left(\pi x\right)}{\ln\left(x^5\right)}$

$\int\left(4-\sin\left(2x\right)\right)^2dx$

$4\tan\left(x\right)=\frac{\sqrt{3}}{\cos\left(x\right)^2}$

$\int e^{x+1}\left(3x^3+2x^2+3x+5\right)dx$

$-6m^2+4mn$

$3f^2+16f+5$

$\int\:\frac{x+4}{x^2+5x-6}dx$