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Popular Calculus >

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

Solution

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

Solution

10

Solution steps

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

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

\int_{1}^{3} 2 x d x = 8

= 2 + 8

Simplify

= 10

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 1 to 3 of (1+2x) ?
The integral from 1 to 3 of (1+2x) is 10