What is the integral from 0 to 1 of x^{0.5} ?

The integral from 0 to 1 of x^{0.5} is 0.66666…

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integral from 0 to 1 of x^{0.5}

\int_{0}^{1} x^{0.5} d x

0.66666 \dots

Solution steps

\int_{0}^{1} x^{0.5} d x

Apply the Power Rule

: [0.66666 \dots x^{1.5}]_{0}^{1}

= [0.66666 \dots x^{1.5}]_{0}^{1}

Compute the boundaries:

0.66666 \dots

= 0.66666 \dots

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What is the integral from 0 to 1 of x^{0.5} ?
The integral from 0 to 1 of x^{0.5} is 0.66666…