Skip to main content

Section 5.7 Integration Strategy (TI7)

Subsection 5.7.1 Activities

Activity 5.7.1.

Consider the integral ∫ettan⁑(et)sec2⁑(et)dt. Which strategy is a reasonable first step to make progress towards evaluating this integral?
  1. The method of substitution
  2. The method of integration by parts
  3. Trigonometric substitution
  4. Using a table of integrals
  5. The method of partial fractions

Activity 5.7.2.

Consider the integral ∫2x+31+x2dx. Which strategy is a reasonable first step to make progress towards evaluating this integral?
  1. The method of substitution
  2. The method of integration by parts
  3. Trigonometric substitution
  4. Using a table of integrals
  5. The method of partial fractions

Activity 5.7.3.

Consider the integral ∫x1βˆ’x23dx. Which strategy is a reasonable first step to make progress towards evaluating this integral?
  1. The method of substitution
  2. The method of integration by parts
  3. Trigonometric substitution
  4. Using a table of integrals
  5. The method of partial fractions

Activity 5.7.4.

Consider the integral ∫12x1βˆ’36x2dx. Which strategy is a reasonable first step to make progress towards evaluating this integral?
  1. The method of substitution
  2. The method of integration by parts
  3. Trigonometric substitution
  4. Using a table of integrals
  5. The method of partial fractions

Activity 5.7.5.

Consider the integral ∫t5cos⁑(t3)dt. Which strategy is a reasonable first step to make progress towards evaluating this integral?
  1. The method of substitution
  2. The method of integration by parts
  3. Trigonometric substitution
  4. Using a table of integrals
  5. The method of partial fractions

Activity 5.7.6.

Consider the integral ∫11+exdx. Which strategy is a reasonable first step to make progress towards evaluating this integral?
  1. The method of substitution
  2. The method of integration by parts
  3. Trigonometric substitution
  4. Using a table of integrals
  5. The method of partial fractions

Subsection 5.7.2 Videos

Figure 117. Video: I can select appropriate strategies for integration

Subsection 5.7.3 Exercises