What is the integral from 0 to 24 of 8sqrt(t) ?

The integral from 0 to 24 of 8sqrt(t) is 256sqrt(6)

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integral from 0 to 24 of 8sqrt(t)

\int_{0}^{24} 8 t d t

2566

Decimal

627.06937 \dots

Solution steps

\int_{0}^{24} 8 t d t

Take the constant out:

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

= 8 \cdot \int_{0}^{24} t d t

Apply the Power Rule

: [\frac{2}{3} t^{\frac{3}{2}}]_{0}^{24}

= 8 [\frac{2}{3} t^{\frac{3}{2}}]_{0}^{24}

Compute the boundaries:

326

= 8 \cdot 326

Simplify

= 2566

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What is the integral from 0 to 24 of 8sqrt(t) ?
The integral from 0 to 24 of 8sqrt(t) is 256sqrt(6)