integral from 1 to 2 of 1/(sqrt(1+x^2))

Lösung

\int_{1}^{2} \frac{1}{1 + x ^{2}} d x

ln (5 + 2) - ln (2 + 1)

Dezimale

0.56226 \dots

Schritte zur Lösung

\int_{1}^{2} \frac{1}{1 + x ^{2}} d x

Nutze das gemeinsame Integral :

\int \frac{1}{1 + x ^{2}} d x = ln x^{2} + 1 + x

= [ln x^{2} + 1 + x]_{1}^{2}

Berechne die Grenzen:

ln (5 + 2) - ln (2 + 1)

= ln (5 + 2) - ln (2 + 1)

\int_{0}^{t} (t + 2) d t

\int_{0}^{π} 27 sin (x) d x

\int_{0}^{3} 3 x d x

\int_{0}^{0.94} 1.5 x^{0.5} d x

\int_{1}^{9} \frac{9}{( x - 1 ) ^{\frac{1}{3}}} d x