Answer
$\frac{x^{3}}{3}-5x^{2}+25x+C$
Work Step by Step
$\int(x-5)^{2}dx$
Expand binomial in integrand: $\int(x^{2}-10x+25)dx$.
Use power rule for antiderivatives to find antiderivative:
$\frac{x^{3}}{3}-\frac{10x^{2}}{2}+25x+C$.
Simplify fraction: $\frac{x^{3}}{3}-5x^{2}+25x+C$.
