Solve the integral of logarithmic functions $\int\left(\pi +1\right)\frac{\ln\left(x+1\right)^2}{x+1}dx$

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

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