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Popular >

integral from-2 to-1 of-x-1

Solution

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

Solution

\frac{1}{2}

+1

Decimal

0.5

Solution steps

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

\int_{- 2}^{- 1} x d x = - \frac{3}{2}

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

= - (- \frac{3}{2}) - 1

Simplify

- (- \frac{3}{2}) - 1 : \frac{1}{2}

= \frac{1}{2}

Graph

Popular Examples

integral from 1 to 2 of (y-1/(y^2))

\int_{1}^{2} (y - \frac{1}{y ^{2}}) d y

integral from 1 to x^2 of sqrt(1+t)

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

integral from 2 to x^3 of ln(x)

\int_{2}^{x^{3}} ln (x) d x

integral from 0 to 2 of 1/((x+2)^4)

\int_{0}^{2} \frac{1}{( x + 2 ) ^{4}} d x

integral from 0 to 60 of 5-5e^{-0.2t}

\int_{0}^{60} 5 - 5 e^{- 0.2 t} d t

Frequently Asked Questions (FAQ)

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