Answer to Question #224864 in Chemical Engineering for Lokika

Question #224864

Evaluate ∫0^π\2α α sin αx dx,α>0 by using Leibniz formula.


1
Expert's answer
2021-08-16T02:19:24-0400

Compute the definite integral:

Factor out constants:

For the integrand , substitute and . This gives a new lower bound and upper bound

Apply the fundamental theorem of calculus.

The antiderivative of

Evaluate the antiderivative at the limits and subtract.


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