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Popular Calculus >

integral from 2 to 5 of 3x+1

Solution

\int_{2}^{5} 3 x + 1 d x

Solution

\frac{69}{2}

+1

Decimal

34.5

Solution steps

\int_{2}^{5} 3 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_{2}^{5} 3 x d x + \int_{2}^{5} 1 d x

\int_{2}^{5} 3 x d x = \frac{63}{2}

\int_{2}^{5} 1 d x = 3

= \frac{63}{2} + 3

Simplify

\frac{63}{2} + 3 : \frac{69}{2}

= \frac{69}{2}

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 2 to 5 of 3x+1 ?
The integral from 2 to 5 of 3x+1 is 69/2