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Beliebt Rechnen >

integral from 0 to 8 of (8-(y^2)/8)

Lösung

\int_{0}^{8} (8 - \frac{y ^{2}}{8}) d y

Lösung

\frac{128}{3}

+1

Dezimale

42.66666 \dots

Schritte zur Lösung

\int_{0}^{8} 8 - \frac{y ^{2}}{8} 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}^{8} 8 d y - \int_{0}^{8} \frac{y ^{2}}{8} d y

\int_{0}^{8} 8 d y = 64

\int_{0}^{8} \frac{y ^{2}}{8} d y = \frac{64}{3}

= 64 - \frac{64}{3}

Vereinfache

64 - \frac{64}{3} : \frac{128}{3}

= \frac{128}{3}

Graph

Beliebte Beispiele

integral from 0 to 6 of x^2+8

\int_{0}^{6} x^{2} + 8 d x

integral from 1 to 4 of 8/x

\int_{1}^{4} \frac{8}{x} d x

integral from 0 to 10 of t

\int_{0}^{10} t d t

integral from-1 to 1 of x^3+x^2

\int_{- 1}^{1} x^{3} + x^{2} d x

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

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