Question

Solve $\int {\left(2x+3\right)}^{2}dx$

Answer 1

Consider the given integral.

$I=\int {(2x+3)}^{2}dx$

$I=\int (4x^2+9+12x)dx$

$I=\frac{4x^3}{3}+9x+\frac{12x^2}{2}+C$

$I=\frac{4x^3}{3}+9x+6x^2+C$

Hence, this is the answer.