Question attached to image 9:41 PM Mon Nov 3026% OT5.3 The Fundementa| Theorem of Calc71.) if fcx) = J t'dtthen,f'cx) =f'l5) =< Nim >

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Description: Question attached to image 9:41 PM Mon Nov 3026% OT5.3 The Fundementa| Theorem of Calc71.) if fcx) = J t'dtthen,f'cx) =f'l5) =

Answered: 5.3 The Fundementa| Thcorem of Calc 1.)…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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9:41 PM Mon Nov 30
26% O
T
5.3 The Fundementa| Theorem of Calc
7
1.) if fcx) = J t'dt
then,
f'cx) =
f'l5) =
< Nim >

Expert Solution

Step 1

Fundamental theorem of calculus:

Let $f (x)$ be a continuous function on the interval $[a, b]$ .

Then the antiderivative of the the function $f (x)$ is defined by, $g (x) = \int_{a}^{x} f (t) d t, a \leq x \leq b$ .

That is, $g' (x) = f (x)$ .

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