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Consider the following function dF =f(x)%3= dx Find the infinite family of antiderivatives for f a) b) Find that antiderivative F (x) that satisfies the condition F (5) = 0 c) From the Fundamental Theorem of Calculus, determine du ). u?(1+)2 dx

Consider the following function dF =f(x)%3= dx Find the infinite family of antiderivatives for f a) b) Find that antiderivative F (x) that satisfies the condition F (5) = 0 c) From the Fundamental Theorem of Calculus, determine du ). u?(1+)2 dx

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Consider the following function dF =f(x)%3= dx Find the infinite family of antiderivatives for f a) b) Find that antiderivative F (x) that satisfies the condition F (5) = 0 c) From the Fundamental Theorem of Calculus, determine du ). u?(1+)2 dx
Transcribed Image Text:Consider the following function dF =f(x)%3= dx Find the infinite family of antiderivatives for f a) b) Find that antiderivative F (x) that satisfies the condition F (5) = 0 c) From the Fundamental Theorem of Calculus, determine du ). u?(1+)2 dx
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The given function isdFdx=fx=1x21+1x2.To find:aThe infinite family of antiderivatives for fbThe antiderivative Fx that satisfies the condition F5=0.c Determine ddx∫12x1u21+1u2du from Fundamental Theorem of Calculus.

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