integral from 0 to 8 of ln(x+2)

Lösung

\int_{0}^{8} ln (x + 2) d x

ln (2500000000) - 8

Dezimale

13.63955 \dots

Schritte zur Lösung

\int_{0}^{8} ln (x + 2) d x

Wende U-Substitution an

= \int_{2}^{10} ln (u) d u

Wende die partielle Integration an

= [u ln (u) - \int 1 d u]_{2}^{10}

\int 1 d u = u

= [u ln (u) - u]_{2}^{10}

Berechne die Grenzen:

10 ln (10) - 8 - 2 ln (2)

= 10 ln (10) - 8 - 2 ln (2)

Vereinfache

= ln (2500000000) - 8

\int_{0}^{4} \frac{x e ^{- \frac{x}{2}}}{4} d x

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\int_{0}^{\frac{π}{4}} ln (1 + tan (x)) d x

\int_{- 7}^{- 5} (x + 2) d x

\int_{- 1}^{3} e^{x^{2} - 2 x} d x