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Beliebt Rechnen >

integral of (2ti+j+k)

Lösung

\int (2 t i + j + k) d t

Lösung

i t^{2} + j t + k t + C

Schritte zur Lösung

\int 2 t i + j + k 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 t i d t + \int j d t + \int k d t

\int 2 t i d t = i t^{2}

\int j d t = j t

\int k d t = k t

= i t^{2} + j t + k t

Füge eine Konstante zur Lösung hinzu

= i t^{2} + j t + k t + C

Beliebte Beispiele

integral of 5sin(3x)

\int 5 sin (3 x) d x

derivative y=log_{3}(5x^4)

d er i v a t i v e y = lo g_{3} (5 x^{4})

implicit 2x^2+y^2-7=0

im pl i c i t 2 x^{2} + y^{2} - 7 = 0

limit as x approaches 1 of (x-x^3)/(x-1)

x \to 1 lim (\frac{x - x ^{3}}{x - 1})

derivative of (d^2/(dx^2)(x^4)+cos(x)+1)

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