integral from 0 to sqrt(2 of)(2-x^2)

Lösung

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

22 - \frac{2 2}{3}

Dezimale

1.88561 \dots

Schritte zur Lösung

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

Wende die Summenregel an:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

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

\int_{0}^{2} 2 d x = 22

\int_{0}^{2} x^{2} d x = \frac{2 2}{3}

= 22 - \frac{2 2}{3}

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

\int_{0}^{1} (3 - 3 x^{2}) d x

\int_{1}^{4} 3 x^{2} - 2 x d x

\int_{- 3}^{4} 5 d x

\int_{0}^{4} 5 x + x d x