Sahithyan's S1 — Mathematics
Intermediate Value Theorem for Integrals
Suppose is a continuous function on . Then :
Proof
Suppose and .
When : is a constant function. Proof is trivial.
Otherwise:
Then there exists .
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Suppose is a continuous function on . Then :
Suppose and .
When : is a constant function. Proof is trivial.
Otherwise:
Then there exists .