integral of cos(x)x

Lösung

\int cos (x) x d x

x sin (x) + cos (x) + C

Schritte zur Lösung

\int cos (x) x d x

Wende die partielle Integration an

= x sin (x) - \int sin (x) d x

\int sin (x) d x = - cos (x)

= x sin (x) - (- cos (x))

Vereinfache

= x sin (x) + cos (x)

Füge eine Konstante zur Lösung hinzu

= x sin (x) + cos (x) + C

n = 0 \sum \infty \frac{1}{e ^{n^{2}}}

\int_{0}^{4} e^{x} sin (x) d x

\frac{\partial}{\partial x} (x^{2} + 3 y^{3})

\int \frac{100}{w ^{2} 25 - w ^{2}} d w

t an g e n t f (x) = 1 - 6 x, at x = - 1