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Popular >

integral from 0 to 5 of (3x+1)

Solution

\int_{0}^{5} (3 x + 1) d x

Solution

\frac{85}{2}

+1

Decimal Notation

42.5

Solution steps

\int_{0}^{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_{0}^{5} 3 x d x + \int_{0}^{5} 1 d x

\int_{0}^{5} 3 x d x = \frac{75}{2}

\int_{0}^{5} 1 d x = 5

= \frac{75}{2} + 5

Simplify

\frac{75}{2} + 5 : \frac{85}{2}

= \frac{85}{2}

Popular Examples

integral from 0 to 6-x of 6-x-z

\int_{0}^{6 - x} 6 - x - z d z

integral from 0 to 2 of (2x-1)^3

\int_{0}^{2} (2 x - 1)^{3} d x

integral from 2 to 3 of (3-x)/2

\int_{2}^{3} \frac{3 - x}{2} d x

integral from 1 to 5 of 4/x-4/(x^2)

\int_{1}^{5} \frac{4}{x} - \frac{4}{x ^{2}} d x

integral from 4 to 8 of x^2

\int_{4}^{8} x^{2} d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 5 of (3x+1) ?
The integral from 0 to 5 of (3x+1) is 85/2