integral from 0 to pi of ln(x)

Lösung

\int_{0}^{π} ln (x) d x

π ln (π) - π

Dezimale

0.45468 \dots

Schritte zur Lösung

\int_{0}^{π} ln (x) d x

Wende die partielle Integration an

= [x ln (x) - \int 1 d x]_{0}^{π}

\int 1 d x = x

= [x ln (x) - x]_{0}^{π}

Berechne die Grenzen:

π ln (π) - π

= π ln (π) - π

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

\int_{- \frac{π}{2}}^{\frac{π}{2}} (cos (x))^{3} d x

\int_{0}^{1} 1 + \frac{9}{4} y d y

\int_{1}^{3} x^{5} x^{6} - 1 d x

\int_{0}^{\frac{π}{3}} 6 x sin (x) d x