$\int\left(x\left(x-1\right)^{\frac{7}{2}}\right)dx$

$3\left(a-5\right)=6a-\left(3a+15\right)$

$\int x\cdot sin\left(5-x\right)dx$

$\int_{1}^{+\infty}\frac{x}{\sqrt{x^{2}+2}}dx$

$\int\frac{x}{\left(64-x^2\right)^{\frac{3}{2}}}dx$

$x+y=12$

$\int\frac{2s+3}{\left(s+2\right)^2+9}ds$