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Popular >

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

Solution

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

Solution

\frac{633}{4}

+1

Decimal

158.25

Solution steps

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

\int_{2}^{5} x^{3} d x = \frac{609}{4}

\int_{2}^{5} 2 d x = 6

= \frac{609}{4} + 6

Simplify

\frac{609}{4} + 6 : \frac{633}{4}

= \frac{633}{4}

Graph

Popular Examples

integral from 0 to 0.5 of 1/(1+x^4)

\int_{0}^{0.5} \frac{1}{1 + x ^{4}} d x

integral from 0 to 3 of e^{-y^2}

\int_{0}^{3} e^{- y^{2}} d y

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

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

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

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

integral from 1 to 2 of sqrt(1+(9x)/4)

\int_{1}^{2} 1 + \frac{9 x}{4} d x

Frequently Asked Questions (FAQ)

What is the integral from 2 to 5 of (x^3+2) ?
The integral from 2 to 5 of (x^3+2) is 633/4