integral from 0 to 2 of (x^2-1)

Lösung

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

\frac{2}{3}

Dezimale

0.66666 \dots

Schritte zur Lösung

\int_{0}^{2} x^{2} - 1 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} x^{2} d x - \int_{0}^{2} 1 d x

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

\int_{0}^{2} 1 d x = 2

= \frac{8}{3} - 2

Vereinfache

\frac{8}{3} - 2 : \frac{2}{3}

= \frac{2}{3}

(cos (9 x)) y^{^{'}} - 9 (tan (9 x)) y = 9 sec (9 x)

\int \frac{1}{3 - 4 r - r ^{2}} d r

\int \frac{3 x ^{3} + 8 x}{( x ^{2} + 2 ) ^{2}} d x

\frac{\partial}{\partial x} (p (q, x) q)

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