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Popular >

integral from 0 to 5 of (3x+2)

Solution

\int_{0}^{5} (3 x + 2) d x

Solution

\frac{95}{2}

+1

Decimal

47.5

Solution steps

\int_{0}^{5} 3 x + 2 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} 2 d x

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

\int_{0}^{5} 2 d x = 10

= \frac{75}{2} + 10

Simplify

\frac{75}{2} + 10 : \frac{95}{2}

= \frac{95}{2}

Graph

Popular Examples

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\int_{0}^{\frac{3}{4}} 1 + 4 x d x

integral from-3 to 5 of 1

\int_{- 3}^{5} 1 d x

integral from 0 to 3 of (x+3)

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

integral from-1 to 2 of 2-x^2+x

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

integral from 0 to 2pi of xsin(nx)

\int_{0}^{2 π} x sin (n x) d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 5 of (3x+2) ?
The integral from 0 to 5 of (3x+2) is 95/2