integral of xsin(1/7 x)

Lösung

\int x sin (\frac{1}{7} x) d x

- 7 x cos (\frac{1}{7} x) + 49 sin (\frac{1}{7} x) + C

Schritte zur Lösung

\int x sin (\frac{1}{7} x) d x

Wende die partielle Integration an

= - 7 x cos (\frac{1}{7} x) - \int - 7 cos (\frac{1}{7} x) d x

\int - 7 cos (\frac{1}{7} x) d x = - 49 sin (\frac{1}{7} x)

= - 7 x cos (\frac{1}{7} x) - (- 49 sin (\frac{1}{7} x))

Vereinfache

= - 7 x cos (\frac{1}{7} x) + 49 sin (\frac{1}{7} x)

Füge eine Konstante zur Lösung hinzu

= - 7 x cos (\frac{1}{7} x) + 49 sin (\frac{1}{7} x) + C

\int 40 x^{\frac{3}{2}} - 60 x^{2} d x

d er i v a t i v e \frac{4}{t ^{2}}

in v erse l a pl a ce \frac{s}{s ^{2} + s + 3}

\frac{d}{d x} (\frac{4}{3} π r (x) (x)^{3})

\frac{d}{d x} (\frac{- x ^{2} - 8}{( x ^{2} - 8 ) ^{2}})