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Beliebt Rechnen >

integral from 0 to 8 of 1/(sqrt(64+x^2))

Lösung

\int_{0}^{8} \frac{1}{64 + x ^{2}} d x

Lösung

ln (1 + 2)

+1

Dezimale

0.88137 \dots

Schritte zur Lösung

\int_{0}^{8} \frac{1}{64 + x ^{2}} d x

Trigonometrische Substitution anwenden

= \int_{0}^{\frac{π}{4}} sec (u) d u

Nutze das gemeinsame Integral :

\int sec (u) d u = ln ∣ tan (u) + sec (u) ∣

= [ln ∣ tan (u) + sec (u) ∣]_{0}^{\frac{π}{4}}

Berechne die Grenzen:

ln (1 + 2)

= ln (1 + 2)

Graph

Beliebte Beispiele

derivative of (xsin(2x)/(cos(3x)))

\frac{d}{d x} (\frac{x sin ( 2 x )}{cos ( 3 x )})

8t(dy)/(dt)+y=t^5

8 t \frac{d y}{d t} + y = t^{5}

derivative f(x)=sqrt(x^2+3x)

d er i v a t i v e f (x) = x^{2} + 3 x

integral from-pi to 0 of sin(x)+x

\int_{- π}^{0} sin (x) + x d x

derivative of e^{6x}cos(bx)

\frac{d}{d x} (e^{6 x} cos (b x))