What is the integral from 1 to 8 of (x^{-10/3}) ?

The integral from 1 to 8 of (x^{-10/3}) is 381/896

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integral from 1 to 8 of (x^{-10/3})

\int_{1}^{8} (x^{- \frac{10}{3}}) d x

\frac{381}{896}

Decimal

0.42522 \dots

Solution steps

\int_{1}^{8} x^{- \frac{10}{3}} d x

Apply the Power Rule

: [- \frac{3}{7 x ^{\frac{7}{3}}}]_{1}^{8}

= [- \frac{3}{7 x ^{\frac{7}{3}}}]_{1}^{8}

Compute the boundaries:

\frac{381}{896}

= \frac{381}{896}

\int_{0}^{1} (t) d t

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What is the integral from 1 to 8 of (x^{-10/3}) ?
The integral from 1 to 8 of (x^{-10/3}) is 381/896