What is the integral from 0 to 2 of sqrt(x) ?

The integral from 0 to 2 of sqrt(x) is (4sqrt(2))/3

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integral from 0 to 2 of sqrt(x)

\int_{0}^{2} x d x

\frac{4 2}{3}

Decimal Notation

1.88561 \dots

Solution steps

\int_{0}^{2} x d x

Apply the Power Rule

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

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

Compute the boundaries:

\frac{4 2}{3}

= \frac{4 2}{3}

f (x) = - 3 x^{3} - 3 x^{2} - x + 3, at x = - 1

\int e^{3 x - 1} d x

x \to - 4 lim (x^{2} - 5 x + 12)

\int - \frac{sin ( x )}{cos ( x )} d x

\int \frac{3}{e ^{2 x}} d x

What is the integral from 0 to 2 of sqrt(x) ?
The integral from 0 to 2 of sqrt(x) is (4sqrt(2))/3