$4\left(x+1\right)^{\frac{1}{2}}-5\left(x+1\right)^{\frac{3}{2}}+\left(x+1\right)^{\frac{5}{2}}$

$\int\frac{-3x^2+2}{x^3+4x^2}dx$

$-\frac{1}{5}\left(-5\right)$

$4x^3e^{-3x-2}$

$\frac{1}{8\tan^2\left(x\right)\sqrt{64+8\tan^2\left(x\right)}}$

$3x^2+6x-11+\left(13x^2-10x+3\right)$

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