Integration techniques

What the problems look like

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

1. Warm-up

   Evaluate exactly: $\displaystyle\int_{1}^{3} \dfrac{9}{x^{2}}\,dx$.

2. Warm-up

   Evaluate exactly: $\displaystyle\int_{1}^{5} \dfrac{20}{x^{2}}\,dx$.

3. Warm-up

   Evaluate exactly: $\displaystyle\int_{1}^{2} \dfrac{12}{x^{2}}\,dx$.

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