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Beliebt Rechnen >

integral of (-4+tan^2(x))

Lösung

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

Lösung

- 5 x + tan (x) + C

Schritte zur Lösung

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

\int 4 d x = 4 x

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

= - 4 x - x + tan (x)

Vereinfache

= - 5 x + tan (x)

Füge eine Konstante zur Lösung hinzu

= - 5 x + tan (x) + C

Graph

Beliebte Beispiele

(\partial)/(\partial x)(e^{3x+4y})

\frac{\partial}{\partial x} (e^{3 x + 4 y})

integral of (6sin(x))

\int (6 sin (x)) d x

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\int 1 - t d t

integral of 1/(x^{2021)}

\int \frac{1}{x ^{2021}} d x

limit as x approaches 2 of f(x)x

x \to 2 lim (f (x) x)