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Popular >

integral from 0 to 2 of 5x^2+2

Solution

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

Solution

\frac{52}{3}

+1

Decimal

17.33333 \dots

Solution steps

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

\int_{0}^{2} 5 x^{2} d x = \frac{40}{3}

\int_{0}^{2} 2 d x = 4

= \frac{40}{3} + 4

Simplify

\frac{40}{3} + 4 : \frac{52}{3}

= \frac{52}{3}

Graph

Popular Examples

integral from 1 to 3 of x^2+2x

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

integral from-3 to 3 of 1/((x-1)^4)

\int_{- 3}^{3} \frac{1}{( x - 1 ) ^{4}} d x

integral from x-2t to x+2t of sin^2(x)

\int_{x - 2 t}^{x + 2 t} sin^{2} (x) d x

integral from-3 to 3 of (-5x^2-6x)^3

\int_{- 3}^{3} (- 5 x^{2} - 6 x)^{3} d x

integral from 3 to infinity of xe^{-x^2}

\int_{3}^{\infty} x e^{- x^{2}} d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 2 of 5x^2+2 ?
The integral from 0 to 2 of 5x^2+2 is 52/3