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

Lösung

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

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

Schritte zur Lösung

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

Nutze das gemeinsame Integral :

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

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

Berechne die Grenzen:

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

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

\int_{0}^{1} (2 x)^{2} d x

\int_{1}^{8} \frac{14 x}{x ^{2} + 6} d x

\int_{0}^{5} 50 - 2 x^{2} d x

\int_{0}^{1} 2^{x} e^{x} d x

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