integral from 0 to x of xcos(x)

Lösung

\int_{0}^{x} x cos (x) d x

x sin (x) + cos (x) - 1

Schritte zur Lösung

\int_{0}^{x} x cos (x) d x

Wende die partielle Integration an

= [x sin (x) - \int sin (x) d x]_{0}^{x}

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

= [x sin (x) - (- cos (x))]_{0}^{x}

Vereinfache

= [x sin (x) + cos (x)]_{0}^{x}

Berechne die Grenzen:

x sin (x) + cos (x) - 1

= x sin (x) + cos (x) - 1

\int_{0}^{1} x 56 x^{2} + 25 d x

\int_{- 3}^{3} (y + 2 ∣ y ∣) d y

\int_{b}^{\infty} \frac{1}{x} d x

\int_{0}^{\frac{1}{2}} arcsin (y) d y

\int_{1 - 5 x}^{1} \frac{u ^{3}}{1 + u ^{2}} d u