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Beliebt Rechnen >

integral from 1 to 2 of y^3+1/(4y^3)

Lösung

\int_{1}^{2} y^{3} + \frac{1}{4 y ^{3}} d y

Lösung

\frac{123}{32}

+1

Dezimale

3.84375

Schritte zur Lösung

\int_{1}^{2} y^{3} + \frac{1}{4 y ^{3}} 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}^{2} y^{3} d y + \int_{1}^{2} \frac{1}{4 y ^{3}} d y

\int_{1}^{2} y^{3} d y = \frac{15}{4}

\int_{1}^{2} \frac{1}{4 y ^{3}} d y = \frac{3}{32}

= \frac{15}{4} + \frac{3}{32}

Vereinfache

\frac{15}{4} + \frac{3}{32} : \frac{123}{32}

= \frac{123}{32}

Graph

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