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Step-by-step Solution

Integrate 1/((5-x)^0.5) from -5 to 5

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Answer

$-\int_{-5}^{5} u^{-\frac{1}{2}}du$

Step-by-step explanation

Problem to solve:

$\int_{-5}^{5}\frac{1}{\sqrt{5-x}}dx$
1

Solve the integral $\int_{-5}^{5}\frac{1}{\sqrt{5-x}}dx$ applying u-substitution. Let $u$ and $du$ be

$\begin{matrix}u=5-x \\ du=-1dx\end{matrix}$
2

Isolate $dx$ in the previous equation

$\frac{du}{-1}=dx$

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Answer

$-\int_{-5}^{5} u^{-\frac{1}{2}}du$

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$\int_{-5}^{5}\frac{1}{\sqrt{5-x}}dx$

Main topic:

Integral calculus

Used formulas:

4. See formulas

Time to solve it:

~ 0.55 seconds