What is the integral from 1 to 4 of 21x^{5/2} ?

The integral from 1 to 4 of 21x^{5/2} is 762

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integral from 1 to 4 of 21x^{5/2}

\int_{1}^{4} 21 x^{\frac{5}{2}} d x

762

Solution steps

\int_{1}^{4} 21 x^{\frac{5}{2}} d x

Take the constant out:

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

= 21 \cdot \int_{1}^{4} x^{\frac{5}{2}} d x

Apply the Power Rule

: [\frac{2}{7} x^{\frac{7}{2}}]_{1}^{4}

= 21 [\frac{2}{7} x^{\frac{7}{2}}]_{1}^{4}

Compute the boundaries:

\frac{254}{7}

= 21 \cdot \frac{254}{7}

Simplify

= 762

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What is the integral from 1 to 4 of 21x^{5/2} ?
The integral from 1 to 4 of 21x^{5/2} is 762