Step-by-step Solution

Calculate the integral $\int\sqrt{x}dx$

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Step-by-step explanation

Problem to solve:

$\int\sqrt{x}dx$

Learn how to solve integrals with radicals problems step by step online.

$x^{\left(\frac{1}{2}+1\right)}\frac{1}{\frac{1}{2}+1}$

Unlock this full step-by-step solution!

Learn how to solve integrals with radicals problems step by step online. Calculate the integral int(x^0.5)dx. Apply the power rule for integration, \displaystyle\int x^n dx=\frac{x^{n+1}}{n+1}, where n represents a number or constant function, such as \frac{1}{2}. Add the values \frac{1}{2} and 1. Divide 1 by \frac{3}{2}. Add the values \frac{1}{2} and 1.

Final Answer

$\frac{2}{3}\sqrt{x^{3}}+C_0$
$\int\sqrt{x}dx$

Time to solve it:

~ 0.03 s (SnapXam)