4. Show that both functions x and sin(x) belong to inner product in this space. L² ([0, 1]) and find their

Advanced Engineering Mathematics
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4. Show that both functions x and sin(x) belong to
inner product in this space.
L² ([0, 1]) and find their
Transcribed Image Text:4. Show that both functions x and sin(x) belong to inner product in this space. L² ([0, 1]) and find their
Expert Solution
Step 1

L20,1 is a vector space of all functions f:0,1 satisfying 01f(x)2dx<. And the inner product defined on it is given by f,g=01f(x)·g(x)dx.

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