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Beliebt Rechnen >

integral of (5x^2+2x^3)

Lösung

\int (5 x^{2} + 2 x^{3}) d x

Lösung

\frac{5 x ^{3}}{3} + \frac{x ^{4}}{2} + C

Schritte zur Lösung

\int 5 x^{2} + 2 x^{3} 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 5 x^{2} d x + \int 2 x^{3} d x

\int 5 x^{2} d x = \frac{5 x ^{3}}{3}

\int 2 x^{3} d x = \frac{x ^{4}}{2}

= \frac{5 x ^{3}}{3} + \frac{x ^{4}}{2}

Füge eine Konstante zur Lösung hinzu

= \frac{5 x ^{3}}{3} + \frac{x ^{4}}{2} + C

Graph

Beliebte Beispiele

integral of (3x+5)^6

\int (3 x + 5)^{6} d x

(\partial)/(\partial x)(5cos(5x))

\frac{\partial}{\partial x} (5 cos (5 x))

integral of t+1

\int t + 1 d t

implicit (dy)/(dx),x^{(2/3)}+y^{(2/3)}=10

im pl i c i t \frac{d y}{d x}, x^{(\frac{2}{3})} + y^{(\frac{2}{3})} = 10

derivative Y(θ)=cot^2(cos(θ))

d er i v a t i v e Y (θ) = cot^{2} (cos (θ))