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Evaluate
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Differentiate w.r.t. A
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\int A\mathrm{d}t
Evaluate the indefinite integral first.
At
Find the integral of A using the table of common integrals rule \int a\mathrm{d}t=at.
A\times 2-A
The definite integral is the antiderivative of the expression evaluated at the upper limit of integration minus the antiderivative evaluated at the lower limit of integration.
A
Simplify.