integral of ye^y-ye

Lösung

\int y e^{y} - ye d y

e^{y} y - e^{y} - \frac{e y ^{2}}{2} + C

Schritte zur Lösung

\int y e^{y} - ye d y

Wende die Summenregel an:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int y e^{y} d y - \int ye d y

\int y e^{y} d y = e^{y} y - e^{y}

\int ye d y = \frac{e y ^{2}}{2}

= e^{y} y - e^{y} - \frac{e y ^{2}}{2}

Füge eine Konstante zur Lösung hinzu

= e^{y} y - e^{y} - \frac{e y ^{2}}{2} + C

y^{^{''}} + 4 y = csc^{2} (2 t)

\int 14 sin^{2} (x) cos^{2} (x) d x

n \to \infty lim (n cos (\frac{nπ}{2}))

x \to 0 lim (0)

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