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Popular >

integral from 1 to 3 of 27-x^3

Solution

\int_{1}^{3} 27 - x^{3} d x

Solution

34

Solution steps

\int_{1}^{3} 27 - x^{3} 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

= \int_{1}^{3} 27 d x - \int_{1}^{3} x^{3} d x

\int_{1}^{3} 27 d x = 54

\int_{1}^{3} x^{3} d x = 20

= 54 - 20

Simplify

= 34

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Frequently Asked Questions (FAQ)

What is the integral from 1 to 3 of 27-x^3 ?
The integral from 1 to 3 of 27-x^3 is 34