What is the integral from 1 to 9 of 4sqrt(x) ?

The integral from 1 to 9 of 4sqrt(x) is 208/3

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integral from 1 to 9 of 4sqrt(x)

\int_{1}^{9} 4 x d x

\frac{208}{3}

Decimal Notation

69.33333 \dots

Solution steps

\int_{1}^{9} 4 x d x

Take the constant out:

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

= 4 \cdot \int_{1}^{9} x d x

Apply the Power Rule

: [\frac{2}{3} x^{\frac{3}{2}}]_{1}^{9}

= 4 [\frac{2}{3} x^{\frac{3}{2}}]_{1}^{9}

Compute the boundaries:

\frac{52}{3}

= 4 \cdot \frac{52}{3}

Simplify

= \frac{208}{3}

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\int 5 x 2 x + 3 d x

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

What is the integral from 1 to 9 of 4sqrt(x) ?
The integral from 1 to 9 of 4sqrt(x) is 208/3