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5. (a) Show an exemple of a proof or computation that uses the FTOC part 1. Make sure to the label the step(s) where the theorem is used. (b) Show an exemple of a proof or computation that uses the FTOC part 2. Make sure to the label the step(s) where the theorem is used.

5. (a) Show an exemple of a proof or computation that uses the FTOC part 1. Make sure to the label the step(s) where the theorem is used. (b) Show an exemple of a proof or computation that uses the FTOC part 2. Make sure to the label the step(s) where the theorem is used.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Hi, I need help with this question please, (a) and (b). Please show full work and label every step in your solution that uses FTOC. 

5. (a) Show an exemple of a proof or computation that uses the FTOC part 1. Make sure to the label the step(s) where the theorem is used. (b) Show an exemple of a proof or computation that uses the FTOC part 2. Make sure to the label the step(s) where the theorem is used.
Transcribed Image Text:5. (a) Show an exemple of a proof or computation that uses the FTOC part 1. Make sure to the label the step(s) where the theorem is used. (b) Show an exemple of a proof or computation that uses the FTOC part 2. Make sure to the label the step(s) where the theorem is used.
Expert Solution
Step 1

Fundamental theorem of calculus part 1:

Let f(x) be a continuous function on an interval a, b. The function Fx is defined as follows,

Fx=∫ax  f(x) dx,

then F'x=fx over a, b. Fx is called as anti derivative of f(x).

Consider the following problem,

Find the function ddx∫0xsin x dx.

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