Question
Asked Nov 26, 2019
27 views

Let f (x) = cos x − sin x for 0 ≤ x ≤ π/3.

Find the area A of the region between the graph of f and the x-axis on the given interval.

check_circle

Expert Answer

Step 1
cons
Consider the given function
T/3
f(x)= cosx-sin x and given interval 0 s x
help_outline

Image Transcriptionclose

cons Consider the given function T/3 f(x)= cosx-sin x and given interval 0 s x

fullscreen
Step 2
cons
SO area under the graph of function and the given interval
3
(cos x-sin x)dx
Area
0
help_outline

Image Transcriptionclose

cons SO area under the graph of function and the given interval 3 (cos x-sin x)dx Area 0

fullscreen
Step 3
cons
Now solve this integration
3
Area =(c
cos x-sin x)dx
0
sin x dx
0
=-sin x-cos x
1
2
2
1
2
2
1-3
2
help_outline

Image Transcriptionclose

cons Now solve this integration 3 Area =(c cos x-sin x)dx 0 sin x dx 0 =-sin x-cos x 1 2 2 1 2 2 1-3 2

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

Related Calculus Q&A

Find answers to questions asked by student like you

Show more Q&A add