integral from 0 to x of ln(t)

Lösung

\int_{0}^{x} ln (t) d t

x ln (x) - x

Schritte zur Lösung

\int_{0}^{x} ln (t) d t

Wende die partielle Integration an

= [t ln (t) - \int 1 d t]_{0}^{x}

\int 1 d t = t

= [t ln (t) - t]_{0}^{x}

Berechne die Grenzen:

x ln (x) - x

= x ln (x) - x

\int_{0}^{x} \frac{y}{x} d y

\int_{0}^{y} cos (1 0^{6} t - 2 y) d y

\int_{1}^{3} (1 + 2 x) d x

\int_{1}^{x} t d t

\int_{0}^{\frac{π}{2}} sin (\frac{x}{2}) d x