integral of x^{3.4}-2x^{sqrt(2)-1}

Lösung

\int x^{3.4} - 2 x^{2 - 1} d x

0.22727 \dots x^{4.4} - 1.41421 \dots x^{2} + C

Schritte zur Lösung

\int x^{3.4} - 2 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 x^{3.4} d x - \int 2 x^{2 - 1} d x

\int x^{3.4} d x = 0.22727 \dots x^{4.4}

\int 2 x^{2 - 1} d x = 2 x^{2}

= 0.22727 \dots x^{4.4} - 2 x^{2}

Vereinfache

= 0.22727 \dots x^{4.4} - 1.41421 \dots x^{2}

Füge eine Konstante zur Lösung hinzu

= 0.22727 \dots x^{4.4} - 1.41421 \dots x^{2} + C

\int_{- 2}^{0} 4 - x^{2} d x

\int x^{3} sin (x) d x

\frac{\partial}{\partial t} (t^{4} e^{- x})

t a y l or \frac{2}{1 - 2 x}

x \to 4 lim (\frac{x - 5}{x + 1})