Riemann integration

What the problems look like

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

1. Warm-up

   The integrand is continuous on the interval of integration, hence Riemann integrable. Using the Fundamental Theorem of Calculus, evaluate $\int_{2}^{4} \left(6x^{2} + 5\right) dx$.

2. Warm-up

   The integrand is continuous on the interval of integration, hence Riemann integrable. Using the Fundamental Theorem of Calculus, evaluate $\int_{1}^{3} \left(9x^{2} + 5\right) dx$.

3. Warm-up

   The integrand is continuous on the interval of integration, hence Riemann integrable. Using the Fundamental Theorem of Calculus, evaluate $\int_{1}^{4} \left(3x^{2} + 4\right) dx$.

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