Simplify the quotient of powers $\frac{a\left(\left(bs^3xy^2\right)^4\left(4x^3y^2\right)^3\right)^2}{\left(4x^2y^3\right)^5}$

Find the integral

$\int\left(x+1\right)^2dx+1$

Find the integral

$\int\left(2x+1\right)dx$

Find the integral

$\int dx$

Find the integral

$\int1dx$

Find the integral

$\int\left(3t^2+\frac{t}{2}\right)dx$

Find the integral

$\int\left(\pi^2-1\right)dx$

Find the integral

$\int\left(\frac{t^2}{2}+4t^3\right)dt$