integral from 3 to 2 of x^2

Lösung

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

- \frac{19}{3}

Dezimale

- 6.33333 \dots

Schritte zur Lösung

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

\int_{a}^{b} f (x) d x = - \int_{b}^{a} f (x) d x, a < b

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

Wende die Potenzregel an

= - [\frac{x ^{3}}{3}]_{2}^{3}

Berechne die Grenzen:

\frac{19}{3}

= - \frac{19}{3}

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

\int_{- 1}^{1} (2 x^{2} - 3) d x

\int_{- 1}^{1} t^{3} (5 + t^{4})^{3} d t

\int_{9.1}^{9.6} (12 x^{2} - 6 x + 4) d x

\int_{0}^{2} 8 e^{2 x} d x