integral of x^2x^2+3

Lösung

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

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

Schritte zur Lösung

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

x^{2} x^{2} = x^{4}

= \int x^{4} + 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 x^{4} d x + \int 3 d x

\int x^{4} d x = \frac{x ^{5}}{5}

\int 3 d x = 3 x

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

Füge eine Konstante zur Lösung hinzu

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

\frac{\partial}{\partial x} (\frac{5 x}{( 3 + y )})

y^{^{''}} - 2 y^{^{'}} = 2 x

d er i v a t i v e f (x) = x^{- \frac{2}{5}} + x^{\frac{2}{5}}

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

\int \frac{x - 2}{x ^{2} - 7 x + 12} d x