integral of (x/2)^2

Lösung

\int (\frac{x}{2})^{2} d x

\frac{x ^{3}}{4} - \frac{x ^{3}}{6} + C

Schritte zur Lösung

\int (\frac{x}{2})^{2} d x

Wende die partielle Integration an

= \frac{x ^{3}}{4} - \int \frac{x ^{2}}{2} d x

\int \frac{x ^{2}}{2} d x = \frac{x ^{3}}{6}

= \frac{x ^{3}}{4} - \frac{x ^{3}}{6}

Füge eine Konstante zur Lösung hinzu

= \frac{x ^{3}}{4} - \frac{x ^{3}}{6} + C

t an g e n t f (x) = x^{4} - 8 x^{3} + 4, at x = - 1

(x^{2} + \frac{2 y}{x}) d x = (3 - ln (x^{2})) d y

\frac{d}{d x} ((2 x^{5} - 5 x^{3} + 7 x)^{4})

\int_{1}^{4} x^{2} + 2 x - 5 d x

x \to \infty + lim (\frac{lo g _{4} ( x )}{lo g _{7} ( x )})