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Differentiate w.r.t. x
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\int 300-6x\mathrm{d}t
Evaluate the indefinite integral first.
\left(300-6x\right)t
Find the integral of 300-6x using the table of common integrals rule \int a\mathrm{d}t=at.
\left(300-6x\right)\times 40-\left(300-6x\right)\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.
12000-240x
Simplify.