Question

Evaluate: $\int (3x^2-5{)}^{2}dx$

Answer 1

$\int (3x^2-5{)}^{2}dx$

$=\int (9x^4+25-30x^2)dx$

$=\frac{9x^5}{5}+25x-\frac{30}{3}{x}^3+c$

$=\frac{9x^5}{5}-10x^3+25x+c$

$\therefore \int (3x^2-5{)}^{2}dx=\frac{9x^5}{5}-10x^3+25x+c$.