2. For x = [0, 1], find F(x)=f(1) dr for each of the following functions f defined on (0.1). In each case verify that F is continuous on (0, 1), and that F'(x)=f(x) at all points where / is continuous. 1. 10- 1 - 2 + 0² 51 = { a f(x)=x²-3x + 5

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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2. For x = [0, 1], find F(x) = f(t) dr for each of the following functions / defined on [0. 1]. In each case verify
that F is continuous on [0, 1], and that F'(x)=f(x) at all points where / is continuous.
1. 05 x < 1/1.
a. f(x)=x²-3x + 5
*b. f(x)=
-2
/ 5 x 51
Transcribed Image Text:2. For x = [0, 1], find F(x) = f(t) dr for each of the following functions / defined on [0. 1]. In each case verify that F is continuous on [0, 1], and that F'(x)=f(x) at all points where / is continuous. 1. 05 x < 1/1. a. f(x)=x²-3x + 5 *b. f(x)= -2 / 5 x 51
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