de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

integral from 0 to 7 of 1/(sqrt(9+x^2))

Lösung

\int_{0}^{7} \frac{1}{9 + x ^{2}} d x

Lösung

ln (\frac{7}{3} + \frac{58}{3})

+1

Dezimale

1.58348 \dots

Schritte zur Lösung

\int_{0}^{7} \frac{1}{9 + x ^{2}} d x

Trigonometrische Substitution anwenden

= \int_{0}^{a r c t a n (\frac{7}{3})} sec (u) d u

Nutze das gemeinsame Integral :

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

= [ln ∣ tan (u) + sec (u) ∣]_{0}^{a r c t a n (\frac{7}{3})}

Berechne die Grenzen:

ln (\frac{7}{3} + \frac{58}{3})

= ln (\frac{7}{3} + \frac{58}{3})

Graph

Beliebte Beispiele

derivative of x^2-y

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

integral of (x^2)/(sqrt((x^2+6)))

\int \frac{x ^{2}}{( x ^{2} + 6 )} d x

derivative (3x^2-3x+1)(x^3)

d er i v a t i v e (3 x^{2} - 3 x + 1) (x^{3})

integral of 1/((4+x^2)^{5/2)}

\int \frac{1}{( 4 + x ^{2} ) ^{\frac{5}{2}}} d x

integral of ((5+ln(x))^5)/x

\int \frac{( 5 + ln ( x ) ) ^{5}}{x} d x