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Step-by-step Solution

Integrate x^0.5 from 0 to 25

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Answer

$83.3333$

Step-by-step explanation

Problem to solve:

$\int_0^{25}\left(\sqrt{x}\right)dx$
1

Apply the power rule for integration, $\displaystyle\int x^n dx=\frac{x^{n+1}}{n+1}$, where $n$ represents a constant function

$\left[\frac{2}{3}\sqrt{x^{3}}\right]_{0}^{25}$
2

Evaluate the definite integral

$0.6667\sqrt{\left(25\right)^{3}}-10.6667\sqrt{\left(0\right)^{3}}$

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Answer

$83.3333$

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$\int_0^{25}\left(\sqrt{x}\right)dx$

Main topic:

Integral calculus

Time to solve it:

~ 0.56 seconds