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Beliebt Rechnen >

integral of (2cos(x)+sec^2(x))

Lösung

\int (2 cos (x) + sec^{2} (x)) d x

Lösung

2 sin (x) + tan (x) + C

Schritte zur Lösung

\int 2 cos (x) + sec^{2} (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 2 cos (x) d x + \int sec^{2} (x) d x

\int 2 cos (x) d x = 2 sin (x)

\int sec^{2} (x) d x = tan (x)

= 2 sin (x) + tan (x)

Füge eine Konstante zur Lösung hinzu

= 2 sin (x) + tan (x) + C

Graph

Beliebte Beispiele

integral of (x^4+1)/(x^2)

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

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

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\int ∣ 2 x - 5 ∣ d x

integral of-x^2+6x-8

\int - x^{2} + 6 x - 8 d x

integral of sin(x)+2cos(x)

\int sin (x) + 2 cos (x) d x