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Beliebt Rechnen >

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

Lösung

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

Lösung

- ln ∣ cos (x) ∣ + tan (x) + C

Schritte zur Lösung

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

\int tan (x) d x = - ln ∣ cos (x) ∣

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

= - ln ∣ cos (x) ∣ + tan (x)

Füge eine Konstante zur Lösung hinzu

= - ln ∣ cos (x) ∣ + tan (x) + C

Graph

Beliebte Beispiele

integral of ((6x-6))/(sqrt(x^2-2x+5))

\int \frac{( 6 x - 6 )}{x ^{2} - 2 x + 5} d x

integral of (10x+2)

\int (10 x + 2) d x

integral of cos((2x)/5)

\int cos (\frac{2 x}{5}) d x

integral of 1/(51-70x-25x^2)

\int \frac{1}{51 - 70 x - 25 x ^{2}} d x

integral of (x^3+2x)/(x^2+x-6)

\int \frac{x ^{3} + 2 x}{x ^{2} + x - 6} d x