Question

A. Definite integral can be used to calculate percentage rate of change of the function

b. Lorenz curves are special curves used to capture demand elasticity
c. Integration by parts formula is the fundamental formula used to conduct marginal analysis
d. Definite integral can be used to calculate area under a curve in a given interval

Answer 1

d. Definite integral can be used to calculate area under a curve in a given interval

General Formulas and Concepts:

Calculus

Integration

• Integrals

Area of a Region Formula:
`\displaystyle A = \int\limits^b_a {[f(x) - g(x)]} \, dx`

Explanation:

We know that by definition, an integral is an antiderivative.

Also by definition, an integral is also the area under the curve. This can be extended to area between 2 curves.

We have a formula specifically to find an area under a curve (region), as listed above.

∴ our answer is D.

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration