Consider the function g : R → R given by 3x + 5 if x € (-00, 0) x2 + 6x + 11 g(x) = 5 x + 11 if x € [0, 0). Find an explicit expression in terms of x for the function G : (-3, 1) → R defined by G(x) = /,9(u) du.

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Chapter2: Second-order Linear Odes
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(b)
Consider the function g : R → R given by
3x + 5
if x € (-∞0,0)
x2 + 6x + 11
g(x) =
x +
11
if x € [0, 0).
Find an explicit expression in terms of x for the function G :(-3,1) → R defined by
G(x) = | g(u) du.
Transcribed Image Text:(b) Consider the function g : R → R given by 3x + 5 if x € (-∞0,0) x2 + 6x + 11 g(x) = x + 11 if x € [0, 0). Find an explicit expression in terms of x for the function G :(-3,1) → R defined by G(x) = | g(u) du.
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