## Calculus: Early Transcendentals 8th Edition

$\frac{x^{3}}{3}-5x^{2}+25x+C$
$\int(x-5)^{2}dx$ 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: $\frac{x^{3}}{3}-5x^{2}+25x+C$.