Chapter 4 - Integrals - 4.4 Indefinite Integrals and the Net Change Theorem - 4.4 Exercises - Page 336: 18

General Solution: $\quad \displaystyle x-\frac{2x^3}{3}+\frac{x^5}{5}+C$

$\displaystyle \int(1-x^2)^2dx$ $\displaystyle \int(1-x^2)(1-x^2)dx$ $\displaystyle \int(1-x^2-x^2+x^4)dx$ $\displaystyle \int(1-2x^2+x^4)dx$ General Solution: $\quad \displaystyle x-\frac{2x^3}{3}+\frac{x^5}{5}+C$ A graph of the different members of this solution is graphed in the answer box above.