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Popular >

integral from-1 to 0 of x-2

Solution

\int_{- 1}^{0} x - 2 d x

Solution

- \frac{5}{2}

+1

Decimal Notation

- 2.5

Solution steps

\int_{- 1}^{0} x - 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_{- 1}^{0} x d x - \int_{- 1}^{0} 2 d x

\int_{- 1}^{0} x d x = - \frac{1}{2}

\int_{- 1}^{0} 2 d x = 2

= - \frac{1}{2} - 2

Simplify

- \frac{1}{2} - 2 : - \frac{5}{2}

= - \frac{5}{2}

Popular Examples

integral of 1/(x(x+1)(x-2))

\int \frac{1}{x ( x + 1 ) ( x - 2 )} d x

(dy)/(dx)= y/x+y^4

\frac{d y}{d x} = \frac{y}{x} + y^{4}

(x^2+3)(dy)/(dx)=xy

(x^{2} + 3) \frac{d y}{d x} = x y

integral of (2x^3+4x^2-5)/(x+3)

\int \frac{2 x ^{3} + 4 x ^{2} - 5}{x + 3} d x

derivative of (x^2/(x^2+1))

\frac{d}{d x} (\frac{x ^{2}}{x ^{2} + 1})

Frequently Asked Questions (FAQ)

What is the integral from-1 to 0 of x-2 ?
The integral from-1 to 0 of x-2 is -5/2