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Beliebt Rechnen >

integral from 0 to 3 of 1/(sqrt(9+t^2))

Lösung

\int_{0}^{3} \frac{1}{9 + t ^{2}} d t

Lösung

ln (1 + 2)

+1

Dezimale

0.88137 \dots

Schritte zur Lösung

\int_{0}^{3} \frac{1}{9 + t ^{2}} d t

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

sum from n=0 to infinity of (0.8)^n

n = 0 \sum \infty (0.8)^{n}

derivative of (3x^2+x^2)

\frac{d}{d x} ((3 x^{2} + x)^{2})

derivative of (e^{(x^2}+4)^2(4x)^{3x})

\frac{d}{d x} ((e^{(x^{2})} + 4)^{2} (4 x)^{3 x})

d/(dt)(tsin(pi)t)

\frac{d}{d t} (t sin (π) t)

derivative of 9x-x^2

\frac{d}{d x} (9 x - x^{2})