$\lim_{x\to\infty}\left(\frac{4x+4}{ln\left(4+3e^x\right)}\right)$

$\lim_{x\to-\infty}\left(\frac{\ln\left(x^4+1\right)}{x}\right)$

$2\cos^3\left(x\right)-\sqrt{3}\cos^2\left(x\right)=0$

$\int\left(3x^2\left(x^3+1\right)^{10\:}\right)dx$

$\int sin^5\frac{t}{2}dt$

$\int x^3\cdot\cos\left(9x\right)dx$

$7x^4+2x^2-9$