Evaluating Definite Integrals (9.4.6)

Question 1

• When working with integration by substitution and definite integrals, the limits of integration are given in terms of the original variable.

Answer 1

• When working with integration by substitution and definite integrals, the limits of integration are given in terms of the original variable.

Question 2

• Since there is a connection between the definite integral and the area between a curve and the x-axis, some definite integrals can be solved geometrically.

Answer 2

• Since there is a connection between the definite integral and the area between a curve and the x-axis, some definite integrals can be solved geometrically.

Question 3

• Another way to evaluate definite integrals by substitution is to change the limits of integration so that they are in terms of the new variable.

Answer 3

• Another way to evaluate definite integrals by substitution is to change the limits of integration so that they are in terms of the new variable.