What is the integral from 1 to 4 of 7sqrt(u) ?

The integral from 1 to 4 of 7sqrt(u) is 98/3

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integral from 1 to 4 of 7sqrt(u)

\int_{1}^{4} 7 u d u

\frac{98}{3}

Decimal

32.66666 \dots

Solution steps

\int_{1}^{4} 7 u d u

Take the constant out:

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

= 7 \cdot \int_{1}^{4} u d u

Apply the Power Rule

= 7 [\frac{2}{3} u^{\frac{3}{2}}]_{1}^{4}

Compute the boundaries:

\frac{14}{3}

= 7 \cdot \frac{14}{3}

Simplify

= \frac{98}{3}

What is the integral from 1 to 4 of 7sqrt(u) ?
The integral from 1 to 4 of 7sqrt(u) is 98/3