Definite integrals

What the problems look like

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

1. Warm-up

   Let $F(x) = \displaystyle\int_{-2}^{x} \left(5t^{2} + 3\right)\,dt$. Use the Fundamental Theorem of Calculus (Part 1) to find $F'(-2)$.

2. Warm-up

   Let $F(x) = \displaystyle\int_{0}^{x} \left(5t^{2} + 2\right)\,dt$. Use the Fundamental Theorem of Calculus (Part 1) to find $F'(-3)$.

3. Warm-up

   Let $F(x) = \displaystyle\int_{-5}^{x} \left(4t^{2} - 1\right)\,dt$. Use the Fundamental Theorem of Calculus (Part 1) to find $F'(4)$.

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