integral from 2 to 5 of xsqrt(x-2)

Lösung

\int_{2}^{5} x x - 2 d x

\frac{18 3}{5} + 43

Dezimale

13.16358 \dots

Schritte zur Lösung

\int_{2}^{5} x x - 2 d x

Wende U-Substitution an

= \int_{0}^{3} (u + 2) u d u

Multipliziere aus

(u + 2) u : u^{\frac{3}{2}} + 2 u

= \int_{0}^{3} u^{\frac{3}{2}} + 2 u d u

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}^{3} u^{\frac{3}{2}} d u + \int_{0}^{3} 2 u d u

\int_{0}^{3} u^{\frac{3}{2}} d u = \frac{18 3}{5}

\int_{0}^{3} 2 u d u = 43

= \frac{18 3}{5} + 43

\int_{- 1}^{4} ∣ 2 x ∣ d x

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

\int_{0}^{4} x^{2} 1 + 4 x^{2} d x

\int_{\frac{1}{x}}^{x} \frac{ln ( x )}{x} d x

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