integral of 3x^2-5x+2

Lösung

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

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

Schritte zur Lösung

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

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

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

\int 2 d x = 2 x

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

Füge eine Konstante zur Lösung hinzu

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

\frac{d}{d x} (\frac{cos ( x )}{x ^{2} + tan ( x )})

x \to 7 + lim (\frac{8}{7 - x})

y^{^{'}} + y = \frac{1}{( cos ( 2 x ) ) ^{\frac{3}{2}}}

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

t an g e n t f (x) = e^{x} (- 4 + 7 x + 4 x^{2}), at x = 0