Question

Which of the following definite integrals could be used to calculate the total area bounded by the graph of y = sin(x), the x-axis, x = 0, and x = π

Answer 1

A.
`\displaystyle \int\limits^(\pi)_0 {sin(x)} \, dx`

General Formulas and Concepts:

Calculus

Integration

• Integrals
• Definite Integrals
• Integration Constant C
• Area under the curve

Explanation:

Step 1: Define

Identify

y = sin(x)

y = 0

x = 0

x = π

Step 2: Identify

Graph function and analyze. See attachment.

Bounds [0, π]

Step 3: Find Area

1. Set up:
   `\displaystyle \int\limits^(\pi)_0 {sin(x)} \, dx`

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

Unit: Integration

Book: College Calculus 10e