Antiderivatives

What the problems look like

A few statements from this skill. Answers, hints and worked solutions live in the practice session.

1. Warm-up

   Find $\displaystyle\int -2x^{5}\,dx$. Give the coefficient of $x^{6}$ in the antiderivative (do not include the constant of integration).

2. Warm-up

   Find $\displaystyle\int 8x^{2}\,dx$. Give the coefficient of $x^{3}$ in the antiderivative (do not include the constant of integration).

3. Warm-up

   Find $\displaystyle\int 2x^{5}\,dx$. Give the coefficient of $x^{6}$ in the antiderivative (do not include the constant of integration).

Problems shown under their original terms: Generated (template, solver-computed).