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Beliebt Rechnen >

integral from 0 to 1 of (x^2-sqrt(x))

Lösung

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

Lösung

- \frac{1}{3}

+1

Dezimale

- 0.33333 \dots

Schritte zur Lösung

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

Wende die Summenregel an:

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

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

\int_{0}^{1} x^{2} d x = \frac{1}{3}

\int_{0}^{1} x d x = \frac{2}{3}

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

Vereinfache

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

= - \frac{1}{3}

Graph

Beliebte Beispiele

integral of 1/(sqrt(6-x))

\int \frac{1}{6 - x} d x

integral of sqrt(1+x^4)

\int 1 + x^{4} d x

derivative of ln|sec(x|)

\frac{d}{d x} (ln ∣ sec (x) ∣)

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

\int \frac{1}{x ^{2} - x + 1} d x

(\partial)/(\partial x)(2(x^2+4)^{-1/2})

\frac{\partial}{\partial x} (2 (x^{2} + 4)^{- \frac{1}{2}})