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

Lösung

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

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

Schritte zur Lösung

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

Nutze das gemeinsame Integral :

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

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

Berechne die Grenzen:

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

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

\int_{1}^{2} r^{2} d r

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

\int_{- \frac{π}{2}}^{\frac{π}{2}} x sin (x) d x

\int_{0}^{l o g_{3} (7)} 3^{x} d x

\int_{2}^{5} 3^{2 x} d x