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Answer

$\int_{0}^{1} e^{1x^{-1}}dx$

Step-by-step explanation

Problem to solve:

$\int_0^1\left(e^{\frac{1}{x}}\right)dx$
1

Apply the formula: $\frac{1}{x}$$=x^{-1}$

$\int_{0}^{1} e^{\left(x^{-1}\right)}dx$
2

Applying the property of exponents, $\displaystyle a^{-n}=\frac{1}{a^n}$, where $n$ is a number

$\int_{0}^{1} e^{\left(\frac{1}{x^{1}}\right)}dx$

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Answer

$\int_{0}^{1} e^{1x^{-1}}dx$
$\int_0^1\left(e^{\frac{1}{x}}\right)dx$

Main topic:

Definite integrals

Time to solve it:

~ 0.82 seconds