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Beliebt Rechnen >

integral from 0 to 1 of 162e^{2x}+324

Lösung

\int_{0}^{1} 162 e^{2 x} + 324 d x

Lösung

81 e^{2} + 243

+1

Dezimale

841.51354 \dots

Schritte zur Lösung

\int_{0}^{1} 162 e^{2 x} + 324 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_{0}^{1} 162 e^{2 x} d x + \int_{0}^{1} 324 d x

\int_{0}^{1} 162 e^{2 x} d x = 81 (e^{2} - 1)

\int_{0}^{1} 324 d x = 324

= 81 (e^{2} - 1) + 324

Vereinfache

81 (e^{2} - 1) + 324 : 81 e^{2} + 243

= 81 e^{2} + 243

Graph

Beliebte Beispiele

integral of (ln^3(x))/x

\int \frac{ln ^{3} ( x )}{x} d x

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f^'(x)=sqrt(5x+1)

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