integral from 0 to x^3 of sin(x)

Lösung

\int_{0}^{x^{3}} sin (x) d x

- cos (x^{3}) + 1

Schritte zur Lösung

\int_{0}^{x^{3}} sin (x) d x

Nutze das gemeinsame Integral :

\int sin (x) d x = - cos (x)

= [- cos (x)]_{0}^{x^{3}}

Berechne die Grenzen:

- cos (x^{3}) + 1

= - cos (x^{3}) + 1

\int_{\frac{1}{e}}^{e} \frac{ln ( x )}{x} d x

\int_{0}^{1} \frac{1}{t} d t

\int_{- \infty}^{1} 0 d x

\int_{0}^{2} \frac{2 t}{1 + t ^{2}} d t

\int_{- 2}^{3} (3 x^{2} - 4 x) d x