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

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

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integral from 0 to 3 of 2sqrt(x)

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

43

Decimal

6.92820 \dots

Solution steps

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

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 2 \cdot \int_{0}^{3} x d x

Apply the Power Rule

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

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

Compute the boundaries:

23

= 2 \cdot 23

Simplify

= 43

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