3536 A function f(x) is defined piecewise on an interval. Inthese exercises: (a) Use
Chapter 5, Problem 36(choose chapter or problem)
A function \(f(x)\) is defined piecewise on an interval. In these exercises:
(a) Use Theorem to find the integral of \(f(x)\) over the interval.
(b) Find an antiderivative of \(f(x)\) on the interval.
(c) Use parts (a) and (b) to verify Part 1 of the Fundamental Theorem of Calculus.
\(f(x)=\left\{\sqrt{x}, 0 \leq x<1 \quad 1 / x^{2}, 1 \leq x \leq 4\right.\)
Equation Transcription:
1
Text Transcription:
f(x)
f(x) = {sqrt x, 0 leq x < 1 1/x^2, 1 leq x leq 4
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