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Differentiate w.r.t. d_10
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\int 3d_{10}\mathrm{d}x
Evaluate the indefinite integral first.
3d_{10}x
Find the integral of 3d_{10} using the table of common integrals rule \int a\mathrm{d}x=ax.
3d_{10}\times 10-3d_{10}\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.
30d_{10}
Simplify.