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Popular >

integral from 1 to 3 of (8x^3-x)

Solution

\int_{1}^{3} (8 x^{3} - x) d x

Solution

156

Solution steps

\int_{1}^{3} 8 x^{3} - 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

= \int_{1}^{3} 8 x^{3} d x - \int_{1}^{3} x d x

\int_{1}^{3} 8 x^{3} d x = 160

\int_{1}^{3} x d x = 4

= 160 - 4

Simplify

= 156

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Frequently Asked Questions (FAQ)

What is the integral from 1 to 3 of (8x^3-x) ?
The integral from 1 to 3 of (8x^3-x) is 156