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Popular >

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

Solution

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

Solution

- \frac{45}{2}

+1

Decimal Notation

- 22.5

Solution steps

\int_{- 2}^{3} x - 5 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 d x - \int_{- 2}^{3} 5 d x

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

\int_{- 2}^{3} 5 d x = 25

= \frac{5}{2} - 25

Simplify

\frac{5}{2} - 25 : - \frac{45}{2}

= - \frac{45}{2}

Popular Examples

integral of cos^2(3t)

\int cos^{2} (3 t) d t

(\partial)/(\partial x)((x+y)/(x^2+y^2))

\frac{\partial}{\partial x} (\frac{x + y}{x ^{2} + y ^{2}})

integral of (x^2+x-2)

\int (x^{2} + x - 2) d x

derivative of arctan(1/2 x)

\frac{d}{d x} (arctan (\frac{1}{2} x))

f(x)=sqrt(7-2x^2)

f (x) = 7 - 2 x^{2}

Frequently Asked Questions (FAQ)

What is the integral from-2 to 3 of (x-5) ?
The integral from-2 to 3 of (x-5) is -45/2