Question

Evaluate: $\int 5-4x-x^{2}dx$.

Answer 1

$\int (5-4x-x^2)dx$

$=\int 5dx-\int 4xdx-\int x^{2}dx$

$=5\int dx-4\int xdx-\int x^{2}dx$

$=5x-4\cdot \frac{x^2}{2}-\frac{x^3}{3}+C$

$=5x-2x^2-\frac{x^3}{3}+C$