What is the integral from 0 to 16 of 10sqrt(x) ?

The integral from 0 to 16 of 10sqrt(x) is 1280/3

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integral from 0 to 16 of 10sqrt(x)

\int_{0}^{16} 10 x d x

\frac{1280}{3}

Decimal

426.66666 \dots

Solution steps

\int_{0}^{16} 10 x d x

Take the constant out:

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

= 10 \cdot \int_{0}^{16} x d x

Apply the Power Rule

= 10 [\frac{2}{3} x^{\frac{3}{2}}]_{0}^{16}

Compute the boundaries:

\frac{128}{3}

= 10 \cdot \frac{128}{3}

Simplify

= \frac{1280}{3}

What is the integral from 0 to 16 of 10sqrt(x) ?
The integral from 0 to 16 of 10sqrt(x) is 1280/3