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Popular >

integral from 0 to 2 of (z^2-2z)

Solution

\int_{0}^{2} (z^{2} - 2 z) d z

Solution

- \frac{4}{3}

+1

Decimal

- 1.33333 \dots

Solution steps

\int_{0}^{2} z^{2} - 2 z d z

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{0}^{2} z^{2} d z - \int_{0}^{2} 2 z d z

\int_{0}^{2} z^{2} d z = \frac{8}{3}

\int_{0}^{2} 2 z d z = 4

= \frac{8}{3} - 4

Simplify

\frac{8}{3} - 4 : - \frac{4}{3}

= - \frac{4}{3}

Graph

Popular Examples

integral from 1 to 2 of (4x-5)^3

\int_{1}^{2} (4 x - 5)^{3} d x

integral from 1 to 4 of (sqrt(x)-4x)

\int_{1}^{4} (x - 4 x) d x

integral from 1 to 4 of 6x+sqrt(x)

\int_{1}^{4} 6 x + x d x

integral from-3 to 0 of x^3-9x

\int_{- 3}^{0} x^{3} - 9 x d x

integral from-2 to 2 of (x^2+3)^2

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

Frequently Asked Questions (FAQ)

What is the integral from 0 to 2 of (z^2-2z) ?
The integral from 0 to 2 of (z^2-2z) is -4/3