Antiderivatives and Indefinite Integrals Worksheet with Answer Key

What's on the worksheet

1. Find each indefinite integral.
   \displaystyle\int \left(5x^4 + 6x^2 - 7\right)dx\displaystyle\int \dfrac{8}{x^5}\,dx\displaystyle\int 10x^{3/2}\,dx\displaystyle\int \sqrt[3]{x^2}\,dx\displaystyle\int \left(\dfrac{1}{2}z^3 - \dfrac{2}{3}z\right)dz
2. Rewrite each integrand as a sum of constant multiples of powers, then find the indefinite integral.
   \displaystyle\int x^2(4x - 3)\,dx\displaystyle\int \dfrac{x^3 - 6}{\sqrt{x}}\,dx\displaystyle\int \left(\sqrt{x} + 2\right)^2 dx
3. Samir wrote three indefinite integrals, and each one is wrong.
4. Find f if $f'
5. For x > 0, a function f has $f''
6. In a made-up model of a bobsled run, the sled crosses the start line moving at 4 meters per second.