integral from 0 to infinity of sin^2(x)

Lösung

\int_{0}^{\infty} sin^{2} (x) d x

divergiert

Schritte zur Lösung

\int_{0}^{\infty} sin^{2} (x) d x

Berechne das unbestimmte Integral:

\int sin^{2} (x) d x = \frac{1}{2} (x - \frac{1}{2} sin (2 x)) + C

Berechne die Grenzen:

\int_{0}^{\infty} sin^{2} (x) d x =

divergiert

= divergiert

x \to 5 lim ((3 x^{2} - x - 2) 0)

d er i v a t i v e f (x) = arccsc (2 x^{4} - 5)

\int_{1}^{2} \frac{( x - 4 ) ^{2}}{x ^{5}} d x

s l o p e (\frac{11}{8}, - \frac{1}{2}), (\frac{1}{4}, \frac{1}{4})

x \to 0 lim (\frac{sin ( 3 )}{2 x})