What is the integral from 0 to 75 of 46*x) ?

The integral from 0 to 75 of 46*x) is 129375d

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integral from 0 to 75 of 46*x)

\int_{0}^{75} 46 \cdot d (x) d x

129375 d

Solution steps

\int_{0}^{75} 46 d x d x

Take the constant out:

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

= 46 d \cdot \int_{0}^{75} x d x

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{0}^{75}

= 46 d [\frac{x ^{2}}{2}]_{0}^{75}

Compute the boundaries:

\frac{5625}{2}

= 46 d \frac{5625}{2}

Simplify

= 129375 d

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What is the integral from 0 to 75 of 46*x) ?
The integral from 0 to 75 of 46*x) is 129375d