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Step-by-step Solution

Integrate $e^{3t}$ from $0$ to $1$

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asin
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sinh
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asinh
acosh
atanh
acoth
asech
acsch

Answer

$6.3618$

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

$6.3618$
$\int_0^1\left[e^{3t}\right]dt$

Main topic:

Definite integrals

Used formulas:

1. See formulas

Time to solve it:

~ 0.84 seconds