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Beliebt Rechnen >

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

Lösung

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

Lösung

\frac{4 2 + 4}{15}

+1

Dezimale

0.64379 \dots

Schritte zur Lösung

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

Multipliziere aus

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

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

\int_{1}^{2} x^{\frac{3}{2}} d x = \frac{8 2 - 2}{5}

\int_{1}^{2} x d x = \frac{4 2 - 2}{3}

= \frac{8 2 - 2}{5} - \frac{4 2 - 2}{3}

Vereinfache

\frac{8 2 - 2}{5} - \frac{4 2 - 2}{3} : \frac{4 2 + 4}{15}

= \frac{4 2 + 4}{15}

Graph

Beliebte Beispiele

(\partial)/(\partial y)(ye^x)

\frac{\partial}{\partial y} (y e^{x})

integral of 24x(6x^2-1)^5

\int 24 x (6 x^{2} - 1)^{5} d x

integral of (x+2)/(x^2+11x+18)

\int \frac{x + 2}{x ^{2} + 11 x + 18} d x

integral from 0 to y of 8

\int_{0}^{y} 8 d x

tangent f(x)=(3x-5)^{1/2},\at x=2

t an g e n t f (x) = (3 x - 5)^{\frac{1}{2}}, at x = 2