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Popular >

integral from 1 to 3 of x^3+x+6

Solution

\int_{1}^{3} x^{3} + x + 6 d x

Solution

36

Solution steps

\int_{1}^{3} x^{3} + x + 6 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} x^{3} d x + \int_{1}^{3} x d x + \int_{1}^{3} 6 d x

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

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

\int_{1}^{3} 6 d x = 12

= 20 + 4 + 12

Simplify

= 36

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 1 to 3 of x^3+x+6 ?
The integral from 1 to 3 of x^3+x+6 is 36