What is the integral from 0 to 1.75 of 1500x ?

The integral from 0 to 1.75 of 1500x is 2296.875

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integral from 0 to 1.75 of 1500x

\int_{0}^{1.75} 1500 x d x

2296.875

Solution steps

\int_{0}^{1.75} 1500 x d x

Take the constant out:

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

= 1500 \cdot \int_{0}^{1.75} x d x

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{0}^{1.75}

= 1500 [\frac{x ^{2}}{2}]_{0}^{1.75}

Simplify

= 1500 [0.5 x^{2}]_{0}^{1.75}

Compute the boundaries:

1.53125

= 1500 \cdot 1.53125

Simplify

= 2296.875

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What is the integral from 0 to 1.75 of 1500x ?
The integral from 0 to 1.75 of 1500x is 2296.875