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(49+x^2))

Lösung

\int_{0}^{7} \frac{1}{49 + x ^{2}} d x

Lösung

ln (1 + 2)

+1

Dezimale

0.88137 \dots

Schritte zur Lösung

\int_{0}^{7} \frac{1}{49 + 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

integral of 1/(sqrt(4-y^2))

\int \frac{1}{4 - y ^{2}} d y

y^{^{'}} = sin (y)

integral of (8t^3-3t^2+32t)/(t^2+4)

\int \frac{8 t ^{3} - 3 t ^{2} + 32 t}{t ^{2} + 4} d t

(\partial)/(\partial y)(x^{7y})

\frac{\partial}{\partial y} (x^{7 y})

derivative of ln(-2x)

\frac{d}{d x} (ln (- 2 x))