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Beliebt Rechnen >

integral of sin(2t)+cos(t)

Lösung

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

Lösung

- \frac{1}{2} cos (2 t) + sin (t) + C

Schritte zur Lösung

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

\int sin (2 t) d t = - \frac{1}{2} cos (2 t)

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

= - \frac{1}{2} cos (2 t) + sin (t)

Füge eine Konstante zur Lösung hinzu

= - \frac{1}{2} cos (2 t) + sin (t) + C

Graph

Beliebte Beispiele

integral of sqrt((1+4x^2))

\int (1 + 4 x^{2}) d x

derivative of (11/(ln(x)))

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

x(dy)/(dx)+y=sin(x)

x \frac{d y}{d x} + y = sin (x)

tangent f(x)=2x^2-6x+6,\at x=7

t an g e n t f (x) = 2 x^{2} - 6 x + 6, at x = 7

(\partial)/(\partial x)(x*y*ln(x^2+y^2))

\frac{\partial}{\partial x} (x \cdot y \cdot ln (x^{2} + y^{2}))