integral from 1 to 0 of sqrt(x)

Lösung

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

- \frac{2}{3}

Dezimale

- 0.66666 \dots

Schritte zur Lösung

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

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

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

Wende die Potenzregel an

= - [\frac{2}{3} x^{\frac{3}{2}}]_{0}^{1}

Berechne die Grenzen:

\frac{2}{3}

= - \frac{2}{3}

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

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

\int_{0}^{6} (8 t - 1)^{2} d t

\int_{3 x}^{x^{2}} \frac{1}{t ^{3} + 1} d t

\int_{0}^{\frac{π}{3}} tan^{3} (x) sec^{2} (x) d x