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Popular Calculus >

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

Solution

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

Solution

14

Solution steps

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

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

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

= 12 + 2

Simplify

= 14

Graph

Popular Examples

integral from 0 to 1 of 1+6x^{3/2}

\int_{0}^{1} 1 + 6 x^{\frac{3}{2}} d x

integral from 0 to 2 of ((x^2-2)/(x+1))

\int_{0}^{2} (\frac{x ^{2} - 2}{x + 1}) d x

integral from 1 to 4 of x^{-1/2}

\int_{1}^{4} x^{- \frac{1}{2}} d x

integral from 0 to 3 of (3x-8)

\int_{0}^{3} (3 x - 8) d x

integral from 3 to 4 of x^4

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

Frequently Asked Questions (FAQ)

What is the integral from 1 to 3 of (3x+1) ?
The integral from 1 to 3 of (3x+1) is 14