integral of xsin(1/4 x)

Lösung

\int x sin (\frac{1}{4} x) d x

- 4 x cos (\frac{1}{4} x) + 16 sin (\frac{1}{4} x) + C

Schritte zur Lösung

\int x sin (\frac{1}{4} x) d x

Wende die partielle Integration an

= - 4 x cos (\frac{1}{4} x) - \int - 4 cos (\frac{1}{4} x) d x

\int - 4 cos (\frac{1}{4} x) d x = - 16 sin (\frac{1}{4} x)

= - 4 x cos (\frac{1}{4} x) - (- 16 sin (\frac{1}{4} x))

Vereinfache

= - 4 x cos (\frac{1}{4} x) + 16 sin (\frac{1}{4} x)

Füge eine Konstante zur Lösung hinzu

= - 4 x cos (\frac{1}{4} x) + 16 sin (\frac{1}{4} x) + C

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

\frac{\partial}{\partial s} (3 s^{2} + t^{2})

d o main f (x) = (x^{4} + 1)^{7}

\frac{d y}{d x} = x - y, y (0) = 2

x \to 0 lim (ln (\frac{1}{x ^{2}}))