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Beliebt Rechnen >

integral from-1 to 6 of (5y-(y^2-6))

Lösung

\int_{- 1}^{6} (5 y - (y^{2} - 6)) d y

Lösung

\frac{343}{6}

+1

Dezimale

57.16666 \dots

Schritte zur Lösung

\int_{- 1}^{6} 5 y - (y^{2} - 6) d y

Vereinfache

= \int_{- 1}^{6} 5 y - y^{2} + 6 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_{- 1}^{6} 5 y d y - \int_{- 1}^{6} y^{2} d y + \int_{- 1}^{6} 6 d y

\int_{- 1}^{6} 5 y d y = \frac{175}{2}

\int_{- 1}^{6} y^{2} d y = \frac{217}{3}

\int_{- 1}^{6} 6 d y = 42

= \frac{175}{2} - \frac{217}{3} + 42

Vereinfache

\frac{175}{2} - \frac{217}{3} + 42 : \frac{343}{6}

= \frac{343}{6}

Graph

Beliebte Beispiele

integral from 0 to 5 of 22+t

\int_{0}^{5} 22 + t d t

integral from 0 to t of e^{t-x}

\int_{0}^{t} e^{t - x} d x

integral from 0 to 1 of e^x2x

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

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

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

integral from 1 to 2 of ρ^2

\int_{1}^{2} ρ^{2} d ρ