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9984
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\int _{0}^{4}\left(-104-0x\right)\left(0\times 4x-24\right)\mathrm{d}x
Multiply 0 and 6 to get 0.
\int _{0}^{4}\left(-104-0\right)\left(0\times 4x-24\right)\mathrm{d}x
Anything times zero gives zero.
\int _{0}^{4}-104\left(0\times 4x-24\right)\mathrm{d}x
Subtract 0 from -104 to get -104.
\int _{0}^{4}-104\left(0x-24\right)\mathrm{d}x
Multiply 0 and 4 to get 0.
\int _{0}^{4}-104\left(-24\right)\mathrm{d}x
Anything times zero gives zero.
\int _{0}^{4}2496\mathrm{d}x
Multiply -104 and -24 to get 2496.
\int 2496\mathrm{d}x
Evaluate the indefinite integral first.
2496x
Find the integral of 2496 using the table of common integrals rule \int a\mathrm{d}x=ax.
2496\times 4-2496\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.
9984
Simplify.
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