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Beliebt Rechnen >

integral from 0 to 4 of sqrt(y)-y+2

Lösung

\int_{0}^{4} y - y + 2 d y

Lösung

\frac{16}{3}

+1

Dezimale

5.33333 \dots

Schritte zur Lösung

\int_{0}^{4} y - y + 2 d y

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}^{4} y d y - \int_{0}^{4} y d y + \int_{0}^{4} 2 d y

\int_{0}^{4} y d y = \frac{16}{3}

\int_{0}^{4} y d y = 8

\int_{0}^{4} 2 d y = 8

= \frac{16}{3} - 8 + 8

Vereinfache

= \frac{16}{3}

Graph

Beliebte Beispiele

derivative of 4x(x^2-4)

\frac{d}{d x} (4 x (x^{2} - 4))

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

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

derivative f(x)=5x-7

d er i v a t i v e f (x) = 5 x - 7

derivative of x^3sqrt(2x-1)

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

derivative of x^3-x^2-2x

\frac{d}{d x} (x^{3} - x^{2} - 2 x)