What is the integral from 0 to 0.94 of 1.5x^{0.5} ?

The integral from 0 to 0.94 of 1.5x^{0.5} is 0.91136…

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integral from 0 to 0.94 of 1.5x^{0.5}

\int_{0}^{0.94} 1.5 x^{0.5} d x

0.91136 \dots

Solution steps

\int_{0}^{0.94} 1.5 x^{0.5} d x

Take the constant out:

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

= 1.5 \cdot \int_{0}^{0.94} x^{0.5} d x

Apply the Power Rule

: [0.66666 \dots x^{1.5}]_{0}^{0.94}

= 1.5 [0.66666 \dots x^{1.5}]_{0}^{0.94}

Compute the boundaries:

0.60757 \dots

= 1.5 \cdot 0.60757 \dots

Simplify

= 0.91136 \dots

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What is the integral from 0 to 0.94 of 1.5x^{0.5} ?
The integral from 0 to 0.94 of 1.5x^{0.5} is 0.91136…