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Beliebt Rechnen >

integral of t^5-7t

Lösung

\int t^{5} - 7 t d t

Lösung

\frac{t ^{6}}{6} - \frac{7 t ^{2}}{2} + C

Schritte zur Lösung

\int t^{5} - 7 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 t^{5} d t - \int 7 t d t

\int t^{5} d t = \frac{t ^{6}}{6}

\int 7 t d t = \frac{7 t ^{2}}{2}

= \frac{t ^{6}}{6} - \frac{7 t ^{2}}{2}

Füge eine Konstante zur Lösung hinzu

= \frac{t ^{6}}{6} - \frac{7 t ^{2}}{2} + C

Graph

Beliebte Beispiele

(\partial)/(\partial x)(2x^2+4y^2+1)

\frac{\partial}{\partial x} (2 x^{2} + 4 y^{2} + 1)

derivative of 2^{x^3+3x}

\frac{d}{d x} (2^{x^{3} + 3 x})

tan (t) y^{^{'}} - y = 1

integral of x^2sqrt(x^2-9)

\int x^{2} x^{2} - 9 d x

y^{''}+4y=10x(4-x),y(0)=-5,y(4)=10

y^{^{''}} + 4 y = 10 x (4 - x), y (0) = - 5, y (4) = 10