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Popular >

integral from 1 to 2 of (2x+4x^3)

Solution

\int_{1}^{2} (2 x + 4 x^{3}) d x

Solution

18

Solution steps

\int_{1}^{2} 2 x + 4 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}^{2} 2 x d x + \int_{1}^{2} 4 x^{3} d x

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

\int_{1}^{2} 4 x^{3} d x = 15

= 3 + 15

Simplify

= 18

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 1 to 2 of (2x+4x^3) ?
The integral from 1 to 2 of (2x+4x^3) is 18