Evaluate
\left(2a+1\right)^{4}
Differentiate w.r.t. a
8\left(2a+1\right)^{3}
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\int \left(2a+1\right)^{4}\mathrm{d}x
Evaluate the indefinite integral first.
\left(2a+1\right)^{4}x
Find the integral of \left(2a+1\right)^{4} using the table of common integrals rule \int a\mathrm{d}x=ax.
\left(2a+1\right)^{4}\times 1-\left(2a+1\right)^{4}\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.
\left(2a+1\right)^{4}
Simplify.
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