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Popular >

integral from 1 to 2 of 1-x

Solution

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

Solution

- \frac{1}{2}

+1

Decimal Notation

- 0.5

Solution steps

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

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

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

= 1 - \frac{3}{2}

Simplify

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

= - \frac{1}{2}

Popular Examples

integral from 0 to 9 of 24-12t

\int_{0}^{9} 24 - 12 t d t

integral from 0 to 3 of-3cos(t)+1

\int_{0}^{3} - 3 cos (t) + 1 d t

integral from pi/2 to pi of θsin(θ)

\int_{\frac{π}{2}}^{π} θ sin (θ) d θ

integral from 1 to 2 of x+2/x

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

integral from 1 to e of 1+e-x-ln(x)

\int_{1}^{e} 1 + e - x - ln (x) d x

Frequently Asked Questions (FAQ)

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