Consider the definite integral 2 2re- dr. (a) Approximate the integral using a right hand sum with n = 5. You can use the graph of f(r) = 2xe¬r given below. 04 00 02 04 0.6 1.0

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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Consider the definite integral /:
2re?
dr.
(a) Approximate the integral using a right hand sum with n = 5. You can use the graph of
f(x) = 2xe- given below.
1.0
0.6
04
02
00
02
04
0.6
0.8
1.0
(b) Find the exact value of the integral using the fundamental theorem of calculus. Hint: what
is the derivative of F(x) = -e-x*?
Transcribed Image Text:Consider the definite integral /: 2re? dr. (a) Approximate the integral using a right hand sum with n = 5. You can use the graph of f(x) = 2xe- given below. 1.0 0.6 04 02 00 02 04 0.6 0.8 1.0 (b) Find the exact value of the integral using the fundamental theorem of calculus. Hint: what is the derivative of F(x) = -e-x*?
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