Evaluate
-\frac{3x}{10}+1500
Differentiate w.r.t. x
-0.3
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\int 300-\frac{3x}{50}\mathrm{d}t
Evaluate the indefinite integral first.
\left(300-\frac{3x}{50}\right)t
Find the integral of 300-\frac{3x}{50} using the table of common integrals rule \int a\mathrm{d}t=at.
\left(300-0.06x\right)\times 5-\left(300-0.06x\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.
1500-\frac{3x}{10}
Simplify.
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Matrix
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Integration
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Limits
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