integral of xsin(1/10 x)

Lösung

\int x sin (\frac{1}{10} x) d x

- 10 x cos (\frac{1}{10} x) + 100 sin (\frac{1}{10} x) + C

Schritte zur Lösung

\int x sin (\frac{1}{10} x) d x

Wende die partielle Integration an

= - 10 x cos (\frac{1}{10} x) - \int - 10 cos (\frac{1}{10} x) d x

\int - 10 cos (\frac{1}{10} x) d x = - 100 sin (\frac{1}{10} x)

= - 10 x cos (\frac{1}{10} x) - (- 100 sin (\frac{1}{10} x))

Vereinfache

= - 10 x cos (\frac{1}{10} x) + 100 sin (\frac{1}{10} x)

Füge eine Konstante zur Lösung hinzu

= - 10 x cos (\frac{1}{10} x) + 100 sin (\frac{1}{10} x) + C

\int x + 1 ln (x + 1) d x

\int 5 x (2 + 3 x^{2})^{8} d x

in v erse l a pl a ce \frac{10}{s ^{3} + s ^{2} + 10 s}

\frac{d}{d x} ((x^{2} + 1)^{2 x - x^{2}})

\int_{0}^{π} 9 sin^{2} (t co) s^{4} t d t