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Beliebt Rechnen >

integral from 3 to 5 of (y^2)/5+5/(4y^2)

Lösung

\int_{3}^{5} \frac{y ^{2}}{5} + \frac{5}{4 y ^{2}} d y

Lösung

\frac{67}{10}

+1

Dezimale

6.7

Schritte zur Lösung

\int_{3}^{5} \frac{y ^{2}}{5} + \frac{5}{4 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_{3}^{5} \frac{y ^{2}}{5} d y + \int_{3}^{5} \frac{5}{4 y ^{2}} d y

\int_{3}^{5} \frac{y ^{2}}{5} d y = \frac{98}{15}

\int_{3}^{5} \frac{5}{4 y ^{2}} d y = \frac{1}{6}

= \frac{98}{15} + \frac{1}{6}

Vereinfache

\frac{98}{15} + \frac{1}{6} : \frac{67}{10}

= \frac{67}{10}

Graph

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