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Beliebt Rechnen >

integral of (2sin(x)-sec^2(x))

Lösung

\int (2 sin (x) - sec^{2} (x)) d x

Lösung

- 2 cos (x) - tan (x) + C

Schritte zur Lösung

\int 2 sin (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 sin (x) d x - \int sec^{2} (x) d x

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

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

= - 2 cos (x) - tan (x)

Füge eine Konstante zur Lösung hinzu

= - 2 cos (x) - tan (x) + C

Graph

Beliebte Beispiele

integral of 1/(w^5)

\int \frac{1}{w ^{5}} d w

(y^2+9)dx-1/((2x-5)^2)dy=0

(y^{2} + 9) d x - \frac{1}{( 2 x - 5 ) ^{2}} d y = 0

derivative of 11

\frac{d}{d x} (11)

integral of e^{cos(t)}sin(2t)

\int e^{c o s (t)} sin (2 t) d t

derivative of 1/6 ln(e^{2x}-e^x+1)

\frac{d}{d x} (\frac{1}{6} ln (e^{2 x} - e^{x} + 1))