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Differentiate w.r.t. w
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\int w^{4}\mathrm{d}x
Evaluate the indefinite integral first.
w^{4}x
Find the integral of w^{4} using the table of common integrals rule \int a\mathrm{d}x=ax.
w^{4}\times 2-w^{4}\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.
2w^{4}
Simplify.