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Integration

√2h
∫ r/(√(h^2 + r^2 - √ hr)
0
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keywords: integration, integrates, integrals, integrating, double, triple, multiple

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The substitution to make is

r = (h/sqrt(2)) *[1 + sinh(t)] (1)

Recall the definitions:
sinh(t) = ( e^t - e^{-t} )/2 and cosh(t) = ( e^t + e^{-t} )/2
and the ...

Solution Summary

An integral is found by substitution. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

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