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Popular >

integral from 1 to 3 of 4x^3-8x+1

Solution

\int_{1}^{3} 4 x^{3} - 8 x + 1 d x

Solution

50

Solution steps

\int_{1}^{3} 4 x^{3} - 8 x + 1 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} 4 x^{3} d x - \int_{1}^{3} 8 x d x + \int_{1}^{3} 1 d x

\int_{1}^{3} 4 x^{3} d x = 80

\int_{1}^{3} 8 x d x = 32

\int_{1}^{3} 1 d x = 2

= 80 - 32 + 2

Simplify

= 50

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Frequently Asked Questions (FAQ)

What is the integral from 1 to 3 of 4x^3-8x+1 ?
The integral from 1 to 3 of 4x^3-8x+1 is 50