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

Which of the following definite integrals could be used to calculate the total area bounded by the graph of y sinx the xaxis x 0 and x π class=

Respuesta :

Space

Answer:

A.  [tex]\displaystyle \int\limits^{\pi}_0 {sin(x)} \, dx[/tex]

General Formulas and Concepts:

Calculus

Integration

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

Step-by-step 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:                                                                                                           [tex]\displaystyle \int\limits^{\pi}_0 {sin(x)} \, dx[/tex]

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

Unit: Integration

Book: College Calculus 10e

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