integral from 1 to x^2 of sin(t)

Lösung

\int_{1}^{x^{2}} sin (t) d t

- cos (x^{2}) + cos (1)

Schritte zur Lösung

\int_{1}^{x^{2}} sin (t) d t

Nutze das gemeinsame Integral :

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

= [- cos (t)]_{1}^{x^{2}}

Berechne die Grenzen:

- cos (x^{2}) + cos (1)

= - cos (x^{2}) + cos (1)

\int_{0}^{2} x cos (x) d x

\int_{- 1}^{3} 3 x^{4} d x

\int_{0}^{2} 15 x^{2} d x

\int_{- 8}^{3} - x^{2} - 3 x d x

\int_{0}^{1} \frac{x}{x ^{2} - 1} d x