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Differentiate w.r.t. d_10
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\int \left(30^{2}-40+5\right)d_{10}\mathrm{d}x
Evaluate the indefinite integral first.
\left(30^{2}-40+5\right)d_{10}x
Find the integral of \left(30^{2}-40+5\right)d_{10} using the table of common integrals rule \int a\mathrm{d}x=ax.
865d_{10}x
Simplify.
865d_{10}\times 3-865d_{10}\left(-1\right)
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.
3460d_{10}
Simplify.