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Popular >

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

Solution

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

Solution

- \frac{10}{3}

+1

Decimal Notation

- 3.33333 \dots

Solution steps

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

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

\int_{- 2}^{3} 3 d x = 15

= \frac{35}{3} - 15

Simplify

\frac{35}{3} - 15 : - \frac{10}{3}

= - \frac{10}{3}

Popular Examples

laplacetransform e^{5t}t^3 laplace transform

e^{5 t} t^{3}

integral of x^3sqrt(x^2+1)

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

integral of (e^{3x})/(e^{3x)+2}

\int \frac{e ^{3 x}}{e ^{3 x} + 2} d x

derivative of (x^4+3/(6x))

\frac{d}{d x} (\frac{x ^{4} + 3}{6 x})

\frac{d}{d y} (3 y)

Frequently Asked Questions (FAQ)

What is the integral from-2 to 3 of x^2-3 ?
The integral from-2 to 3 of x^2-3 is -10/3