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Beliebt Rechnen >

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

Lösung

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

Lösung

2 sin (t) + tan (t) + C

Schritte zur Lösung

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

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 (t) d t + \int sec^{2} (t) d t

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

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

= 2 sin (t) + tan (t)

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

(\partial)/(\partial x)(ln((1-T)*w*x))

\frac{\partial}{\partial x} (ln ((1 - T) \cdot w \cdot x))

(dy)/(dx)+2y=4x

\frac{d y}{d x} + 2 y = 4 x

derivative 9pi^3

d er i v a t i v e 9 π^{3}

derivative arcsin(2x)

d er i v a t i v e arcsin (2 x)

tangent f(x)=x^4-2x^2,\at x=1

t an g e n t f (x) = x^{4} - 2 x^{2}, at x = 1