integral from 0 to 2 of (2.5-x^2)

Lösung

\int_{0}^{2} (2.5 - x^{2}) d x

\frac{7}{3}

Dezimale

2.33333 \dots

Schritte zur Lösung

\int_{0}^{2} 2.5 - 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} 2.5 d x - \int_{0}^{2} x^{2} d x

\int_{0}^{2} 2.5 d x = 5

\int_{0}^{2} x^{2} d x = \frac{8}{3}

= 5 - \frac{8}{3}

Vereinfache

5 - \frac{8}{3} : \frac{7}{3}

= \frac{7}{3}

\int_{0}^{1} π (4 - 4 x)^{2} d x

\int_{0}^{9} 2 x + 9 d x

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

\int_{0}^{4} 1 + x d x

\int_{1}^{2} \frac{t}{t ^{2} - 1} d t