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Differentiate w.r.t. w
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\int w\mathrm{d}x
Evaluate the indefinite integral first.
wx
Find the integral of w using the table of common integrals rule \int a\mathrm{d}x=ax.
w\times 75-w\times 0
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.
75w
Simplify.