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Beliebt Rechnen >

integral of (3sec(x)tan(x)+4sec^2(x))

Lösung

\int (3 sec (x) tan (x) + 4 sec^{2} (x)) d x

Lösung

3 sec (x) + 4 tan (x) + C

Schritte zur Lösung

\int 3 sec (x) tan (x) + 4 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 3 sec (x) tan (x) d x + \int 4 sec^{2} (x) d x

\int 3 sec (x) tan (x) d x = 3 sec (x)

\int 4 sec^{2} (x) d x = 4 tan (x)

= 3 sec (x) + 4 tan (x)

Füge eine Konstante zur Lösung hinzu

= 3 sec (x) + 4 tan (x) + C

Graph

Beliebte Beispiele

integral of 3x(4x-1)^5

\int 3 x (4 x - 1)^{5} d x

integral of 7sin^3(x)cos^7(x)

\int 7 sin^{3} (x) cos^{7} (x) d x

laplacetransform cos(3t)

l a pl a ce t r an s f or m cos (3 t)

derivative of 7ln(sec(x+tan(x)))

\frac{d}{d x} (7 ln (sec (x) + tan (x)))

tangent y=2x^3-6x^2+5x+1,(2,3)

t an g e n t y = 2 x^{3} - 6 x^{2} + 5 x + 1, (2, 3)