integral from 2 to 7 of ln(t+8)

Lösung

\int_{2}^{7} ln (t + 8) d t

ln (\frac{44840334375}{1024}) - 5

Dezimale

12.59490 \dots

Schritte zur Lösung

\int_{2}^{7} ln (t + 8) d t

Wende U-Substitution an

= \int_{10}^{15} ln (u) d u

Wende die partielle Integration an

= [u ln (u) - \int 1 d u]_{10}^{15}

\int 1 d u = u

= [u ln (u) - u]_{10}^{15}

Berechne die Grenzen:

15 ln (15) - 5 - 10 ln (10)

= 15 ln (15) - 5 - 10 ln (10)

Vereinfache

= ln (\frac{44840334375}{1024}) - 5

\int_{3}^{7} \frac{1}{2 x - 5} d x

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

\int_{- 11}^{- 3} \frac{1}{x} d x

\int_{1}^{e} x^{2} ln^{2} (x) d x

\int_{- 1.25}^{0} (5 x^{3} - 3 x + 6) d x