What is the integral from 0 to 120 of 5.5(120-x) ?

The integral from 0 to 120 of 5.5(120-x) is 39600

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integral from 0 to 120 of 5.5(120-x)

\int_{0}^{120} 5.5 (120 - x) d x

39600

Solution steps

\int_{0}^{120} 5.5 (120 - x) d x

Take the constant out:

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

= 5.5 \cdot \int_{0}^{120} 120 - x d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= 5.5 (\int_{0}^{120} 120 d x - \int_{0}^{120} x d x)

\int_{0}^{120} 120 d x = 14400

\int_{0}^{120} x d x = 7200

= 5.5 (14400 - 7200)

Simplify

= 39600

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\int_{0}^{x} 1 + x^{2} d x

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f (x) = \frac{6 x - 1}{x ^{3}}

\int_{3}^{5} x^{3} d x

What is the integral from 0 to 120 of 5.5(120-x) ?
The integral from 0 to 120 of 5.5(120-x) is 39600