integral of 5+(3x^2)/(sqrt(2x^3+7))

Lösung

\int 5 + \frac{3 x ^{2}}{2 x ^{3} + 7} d x

5 x + 2 x^{3} + 7 + C

Schritte zur Lösung

\int 5 + \frac{3 x ^{2}}{2 x ^{3} + 7} 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 d x + \int \frac{3 x ^{2}}{2 x ^{3} + 7} d x

\int 5 d x = 5 x

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

= 5 x + 2 x^{3} + 7

Füge eine Konstante zur Lösung hinzu

= 5 x + 2 x^{3} + 7 + C

\int 300 t e^{\frac{- t ^{2}}{7}} d t

x \to 0 lim (\frac{cos ( 5 x )}{x})

\frac{\partial}{\partial x} (6 x^{2} + y^{2} - 7 y)

in v erse l a pl a ce e^{- 6 s}

\frac{\partial}{\partial x} (56 y e^{8 x})