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Popular >

integral from 0 to 5 of (x+3)

Solution

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

Solution

\frac{55}{2}

+1

Decimal Notation

27.5

Solution steps

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

\int_{0}^{5} x d x = \frac{25}{2}

\int_{0}^{5} 3 d x = 15

= \frac{25}{2} + 15

Simplify

\frac{25}{2} + 15 : \frac{55}{2}

= \frac{55}{2}

Popular Examples

integral from 3 to 5 of-5t

\int_{3}^{5} - 5 t d t

integral from 0 to 1 of (xe^{-2x})/2

\int_{0}^{1} \frac{x e ^{- 2 x}}{2} d x

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

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

integral from a to b of ((ax)^3+e^{-bx})

\int_{a}^{b} ((a x)^{3} + e^{- b x}) d x

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

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

Frequently Asked Questions (FAQ)

What is the integral from 0 to 5 of (x+3) ?
The integral from 0 to 5 of (x+3) is 55/2