Evaluate
6x\left(x-100\right)
Differentiate w.r.t. x
12\left(x-50\right)
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\int 6x\mathrm{d}t
Evaluate the indefinite integral first.
6xt
Find the integral of 6x using the table of common integrals rule \int a\mathrm{d}t=at.
6xx-6x\times 100
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.
6x\left(-100+x\right)
Simplify.
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