integral from 0 to R of 1/(1+x^2)

Lösung

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

arctan (R)

Schritte zur Lösung

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

Nutze das gemeinsame Integral :

\int \frac{1}{1 + x ^{2}} d x = arctan (x)

= [arctan (x)]_{0}^{R}

Berechne die Grenzen:

arctan (R)

= arctan (R)

\int \frac{( x - b )}{x} d x

\frac{\partial}{\partial x} (sin (x) e^{y x^{2}} x)

\int \frac{z}{1 + z ^{2}} d z

\int e^{x^{2} - 2 x} d x

\frac{d}{d x} (x^{\frac{1}{2}} \cdot csc (x) sin (x))