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Evaluate
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Differentiate w.r.t. z
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\int 8z^{3}+3z\mathrm{d}x
Evaluate the indefinite integral first.
\left(8z^{3}+3z\right)x
Find the integral of 8z^{3}+3z using the table of common integrals rule \int a\mathrm{d}x=ax.
\left(8z^{3}+3z\right)\times 1-\left(8z^{3}+3z\right)\left(-2\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.
24z^{3}+9z
Simplify.