Question
Asked Dec 4, 2019
16 views

Evaluate integral 8 to 2 (4x + 3) dx in two ways:
(a) Using area and geometry.
(b) Using the Fundamental Theorem of Calculus.

check_circle

Expert Answer

Step 1

Given:

help_outline

Image Transcriptionclose

2 J(4x+3) dx 8

fullscreen
Step 2

Calculation:

help_outline

Image Transcriptionclose

a) Using area and geometry: (8,35) (2.11) 6 units From the figure, we observed that the graph represents a trapezoid with h= 6 and sides a =11, b= 35

fullscreen
Step 3
help_outline

Image Transcriptionclose

The formula to find the area of the trapezoid is h(a+b). Using the above formula, +3) dk = -h(a+b) =(0)(11+35) = 3(46) =138 Therefore, the value of the integral is 138.

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Calculus

Other