Solved: Calculus Determine whether the setS = {f C[0,
Chapter 4, Problem 48(choose chapter or problem)
Determine whether the set
\(S=\left\{f \in C[0,1]: \int_{0}^{1} f(x) d x=0\right\}\)
is a subspace of C[0, 1]. Prove your answer.
Text Transcription:
S={f in C[0,1]: int_0^1 f(x) dx=0}
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