integral from 1 to 10 of (13)/(x^3)

Lösung

\int_{1}^{10} \frac{13}{x ^{3}} d x

\frac{1287}{200}

Dezimale

6.435

Schritte zur Lösung

\int_{1}^{10} \frac{13}{x ^{3}} d x

Entferne die Konstante:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 13 \cdot \int_{1}^{10} \frac{1}{x ^{3}} d x

Wende die Potenzregel an

= 13 [- \frac{1}{2 x ^{2}}]_{1}^{10}

Berechne die Grenzen:

\frac{99}{200}

= 13 \cdot \frac{99}{200}

Vereinfache

= \frac{1287}{200}

\int 7 cos (π x) cos (4 π x) d x

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t an g e n t y = 3 x^{2} + 4 x + 4, (1, 1)

a re a - 0.0087 x^{2} - 0.4587 x + 18.031, [0, 15]

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