$\int_0^{\frac{1}{2}}\left(1-x^2\right)^{\frac{1}{2}}dx$

$\int x^3\left(5x^4+4\right)^6dx$

$a^2-8a\left(b+c\right)+16\left(b+c\right)^2$

$\int\left(\cot\left(x\right)\csc^5\left(x\right)\right)dx$

$\left(2\sqrt[x]{2^{-1}}\frac{4}{\sqrt[4-x]{4}}\right)^6$

$3x^2-34x-336$

$4a^2-24aw^3+36w^6$