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Beliebt Rechnen >

integral from 0 to 1/16 of integral from y^{1/4} to 1/2 of cos(16pix^5)

Lösung

\int_{0}^{\frac{1}{16}} \int_{y^{\frac{1}{4}}}^{\frac{1}{2}} cos (16 π x^{5}) d x d y

Lösung

\frac{1}{80 π}

+1

Dezimale

0.00397 \dots

Schritte zur Lösung

\int_{0}^{\frac{1}{16}} \int_{y^{\frac{1}{4}}}^{\frac{1}{2}} cos (16 π x^{5}) d x d y

Reihenfolge der Integration ändern

= \int_{0}^{\frac{1}{2}} \int_{0}^{x^{4}} cos (16 π x^{5}) d y d x

\int_{0}^{x^{4}} cos (16 π x^{5}) d y = x^{4} cos (16 π x^{5})

= \int_{0}^{\frac{1}{2}} x^{4} cos (16 π x^{5}) d x

\int_{0}^{\frac{1}{2}} x^{4} cos (16 π x^{5}) d x = \frac{1}{80 π}

= \frac{1}{80 π}

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