Evaluate
250e^{4t}
Differentiate w.r.t. t
1000e^{4t}
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\int \left(5e^{2t}\right)^{2}\mathrm{d}x
Evaluate the indefinite integral first.
\left(5e^{2t}\right)^{2}x
Find the integral of \left(5e^{2t}\right)^{2} using the table of common integrals rule \int a\mathrm{d}x=ax.
25e^{4t}x
Simplify.
25e^{4t}\times 15-25e^{4t}\times 5
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.
250e^{4t}
Simplify.
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