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Popular >

integral from-2 to 3 of x^2-4

Solution

\int_{- 2}^{3} x^{2} - 4 d x

Solution

- \frac{25}{3}

+1

Decimal Notation

- 8.33333 \dots

Solution steps

\int_{- 2}^{3} x^{2} - 4 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}^{3} x^{2} d x - \int_{- 2}^{3} 4 d x

\int_{- 2}^{3} x^{2} d x = \frac{35}{3}

\int_{- 2}^{3} 4 d x = 20

= \frac{35}{3} - 20

Simplify

\frac{35}{3} - 20 : - \frac{25}{3}

= - \frac{25}{3}

Popular Examples

integral of (-3)/y

\int \frac{- 3}{y} d y

laplacetransform 18e^t laplace transform

18 e^{t}

tangent of f(x)= 3/(sqrt(x)),\at x=4 tangent of

f (x) = \frac{3}{x}, at x = 4

(dx)/(dt)=xe^t+3e^t+x-3

\frac{d x}{d t} = x e^{t} + 3 e^{t} + x - 3

area 15cos(x),15sin(x),[0, pi/2 ]area

15 cos (x), 15 sin (x), [0, \frac{π}{2}]

Frequently Asked Questions (FAQ)

What is the integral from-2 to 3 of x^2-4 ?
The integral from-2 to 3 of x^2-4 is -25/3