Mister Exam

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Integral of 1^3*sqrt(x) dx

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 oo         
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$$\int\limits_{1}^{\infty} \sqrt{x}\, dx$$

Integral(sqrt(x), (x, 1, oo))

Detail solution

The integral of $x^{n}$ is $\frac{x^{n + 1}}{n + 1}$ when $n \neq -1$ :

$\int \sqrt{x}\, dx = \frac{2 x^{\frac{3}{2}}}{3}$
Add the constant of integration:

$\frac{2 x^{\frac{3}{2}}}{3}+ \mathrm{constant}$

The answer is:

$\frac{2 x^{\frac{3}{2}}}{3}+ \mathrm{constant}$

The answer (Indefinite) [src]

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$$\int \sqrt{x}\, dx = C + \frac{2 x^{\frac{3}{2}}}{3}$$

Simplify

The answer [src]

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$$\infty$$

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$$\infty$$

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Use the examples entering the upper and lower limits of integration.