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Beliebt Rechnen >

integral of sin(x)+7cos(x)-1

Lösung

\int sin (x) + 7 cos (x) - 1 d x

Lösung

- cos (x) + 7 sin (x) - x + C

Schritte zur Lösung

\int sin (x) + 7 cos (x) - 1 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 sin (x) d x + \int 7 cos (x) d x - \int 1 d x

\int sin (x) d x = - cos (x)

\int 7 cos (x) d x = 7 sin (x)

\int 1 d x = x

= - cos (x) + 7 sin (x) - x

Füge eine Konstante zur Lösung hinzu

= - cos (x) + 7 sin (x) - x + C

Graph

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\int - 5 x^{2} ln (- x) d x

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\int sec (x) (8 sec (x) + 9 tan (x)) d x

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\int e^{2 y} - y cos (x) y d x

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\int 8 x^{5} + 3 x^{3} - x^{2} + 1 d x

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\int \frac{1}{x ^{2} + 1} - e^{- 4 x} d x