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Beliebt Rechnen >

integral from 1 to 3 of (9^x-7^x)

Lösung

\int_{1}^{3} (9^{x} - 7^{x}) d x

Lösung

\frac{360}{ln ( 3 )} - \frac{336}{ln ( 7 )}

+1

Dezimale

155.01627 \dots

Schritte zur Lösung

\int_{1}^{3} 9^{x} - 7^{x} d x

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}^{3} 9^{x} d x - \int_{1}^{3} 7^{x} d x

\int_{1}^{3} 9^{x} d x = \frac{360}{ln ( 3 )}

\int_{1}^{3} 7^{x} d x = \frac{336}{ln ( 7 )}

= \frac{360}{ln ( 3 )} - \frac{336}{ln ( 7 )}

Graph

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