What is the integral from 0 to 5.5 of 90x ?

The integral from 0 to 5.5 of 90x is 1361.25

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integral from 0 to 5.5 of 90x

\int_{0}^{5.5} 90 x d x

1361.25

Solution steps

\int_{0}^{5.5} 90 x d x

Take the constant out:

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

= 90 \cdot \int_{0}^{5.5} x d x

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{0}^{5.5}

= 90 [\frac{x ^{2}}{2}]_{0}^{5.5}

Simplify

= 90 [0.5 x^{2}]_{0}^{5.5}

Compute the boundaries:

15.125

= 90 \cdot 15.125

Simplify

= 1361.25

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What is the integral from 0 to 5.5 of 90x ?
The integral from 0 to 5.5 of 90x is 1361.25