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Beliebt Rechnen >

integral from 0 to 2 of sin(x)+e^x

Lösung

\int_{0}^{2} sin (x) + e^{x} d x

Lösung

e^{2} - cos (2)

+1

Dezimale

7.80520 \dots

Schritte zur Lösung

\int_{0}^{2} sin (x) + e^{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_{0}^{2} sin (x) d x + \int_{0}^{2} e^{x} d x

\int_{0}^{2} sin (x) d x = - cos (2) + 1

\int_{0}^{2} e^{x} d x = e^{2} - 1

= - cos (2) + 1 + e^{2} - 1

Vereinfache

= e^{2} - cos (2)

Graph

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\int (x^{4} - 1) x^{2} d x

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