What is the integral from 0 to 3 of x^{1/2} ?

The integral from 0 to 3 of x^{1/2} is 2*3^{1/2}

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integral from 0 to 3 of x^{1/2}

\int_{0}^{3} x^{\frac{1}{2}} d x

2 \cdot 3^{\frac{1}{2}}

Decimal Notation

3.46410 \dots

Solution steps

\int_{0}^{3} x^{\frac{1}{2}} d x

Apply the Power Rule

: [\frac{2}{3} x^{\frac{3}{2}}]_{0}^{3}

= [\frac{2}{3} x^{\frac{3}{2}}]_{0}^{3}

Compute the boundaries:

2 \cdot 3^{\frac{1}{2}}

= 2 \cdot 3^{\frac{1}{2}}

\frac{1}{x ^{\frac{23}{9}}}

\int_{1}^{\infty} x^{- \frac{1}{6}} d x

x \to 8 - lim (\frac{7}{x - 8})

\frac{d}{d x} (- 24 e^{- 8 x^{3}} x^{2})

\frac{d}{d x} (x^{2} - 2 x)

What is the integral from 0 to 3 of x^{1/2} ?
The integral from 0 to 3 of x^{1/2} is 2*3^{1/2}