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Beliebt Rechnen >

integral of 2/7 x^2+1

Lösung

\int \frac{2}{7} x^{2} + 1 d x

Lösung

\frac{2 x ^{3}}{21} + x + C

Schritte zur Lösung

\int \frac{2}{7} x^{2} + 1 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 \frac{2}{7} x^{2} d x + \int 1 d x

\int \frac{2}{7} x^{2} d x = \frac{2 x ^{3}}{21}

\int 1 d x = x

= \frac{2 x ^{3}}{21} + x

Füge eine Konstante zur Lösung hinzu

= \frac{2 x ^{3}}{21} + x + C

Graph

Beliebte Beispiele

tangent f(x)=3x^2,(-1,3)

t an g e n t f (x) = 3 x^{2}, (- 1, 3)

laplacetransform g(t)=sqrt(t)

l a pl a ce t r an s f or m g (t) = t

derivative of (x^2+2x+2^{sin(x)})

\frac{d}{d x} ((x^{2} + 2 x + 2)^{s i n (x)})

y^{^{'}} + y = x y^{4}

limit as x approaches infinity of 3+2/x

x \to \infty lim (3 + \frac{2}{x})