integral from 0 to pi/4 of 1/(cos(x))

Lösung

\int_{0}^{\frac{π}{4}} \frac{1}{cos ( x )} d x

ln (1 + 2)

Dezimale

0.88137 \dots

Schritte zur Lösung

\int_{0}^{\frac{π}{4}} \frac{1}{cos ( x )} d x

Umschreiben mit Hilfe von Trigonometrie-Identitäten

= \int_{0}^{\frac{π}{4}} sec (x) d x

Nutze das gemeinsame Integral :

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

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

Berechne die Grenzen:

ln (1 + 2)

= ln (1 + 2)

\frac{\partial}{\partial x} (cos (x^{3}))

\frac{\partial}{\partial x} (x e^{y} - 1)

s l o p e x^{2} + y^{2} = 27

\int_{1}^{x} \frac{e ^{- 3 t}}{t} d t

a re a 3 x^{2}, (5, 75)