Question
Asked Dec 17, 2019
4 views

Evaluate The Integral

Evaluate the integral.
if -4 < x < 0
f(x) dx where f(x)
0 < x< 2
4 - x2
if
help_outline

Image Transcriptionclose

Evaluate the integral. if -4 < x < 0 f(x) dx where f(x) 0 < x< 2 4 - x2 if

fullscreen
check_circle

Expert Answer

Step 1

Given function is

help_outline

Image Transcriptionclose

(2,-4 <x<0 f(x)=< |4 – x²,0<x < 2

fullscreen
Step 2

By using the property of definit integral , we have

help_outline

Image Transcriptionclose

f (x)dx = | f(x)dx+ S(x)dx

fullscreen
Step 3

Now, we substitute f(x) and t...

help_outline

Image Transcriptionclose

S(4-x²)dx [ f(x)dx |2dx = 2[x], +| 4x- 3 (2)' 8 40 = 2(0+ 4) + 4(2)- = 8 +8- 3 3

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

Integration