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Step-by-step Solution

Integrate e^(3t) from 0 to 1

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Answer

$\sqrt{40}$

Step-by-step explanation

Problem to solve:

$\int_0^1\left[e^{3t}\right]dt$
1

Solve the integral $\int_{0}^{1} e^{3t}dt$ applying u-substitution. Let $u$ and $du$ be

$\begin{matrix}u=3t \\ du=3dt\end{matrix}$
2

Isolate $dt$ in the previous equation

$\frac{du}{3}=dt$

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Answer

$\sqrt{40}$
$\int_0^1\left[e^{3t}\right]dt$

Main topic:

Integration by substitution

Used formulas:

3. See formulas

Time to solve it:

~ 0.44 seconds