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Step-by-step Solution

Integrate $e^{\left(2-7x\right)}$ with respect to x

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Answer

$-\frac{1}{7}e^{\left(2-7x\right)}+C_0$

Step-by-step explanation

Problem to solve:

$\int e^{\left(2-7x\right)}dx$
1

Solve the integral $\int e^{\left(2-7x\right)}dx$ applying u-substitution. Let $u$ and $du$ be

$\begin{matrix}u=2-7x \\ du=-7dx\end{matrix}$
2

Isolate $dx$ in the previous equation

$\frac{du}{-7}=dx$

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Answer

$-\frac{1}{7}e^{\left(2-7x\right)}+C_0$
$\int e^{\left(2-7x\right)}dx$

Main topic:

Integration by substitution

Used formulas:

3. See formulas

Time to solve it:

~ 0.76 seconds