integral from 1 to 2 of (2x-sqrt(x))

Lösung

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

3 - \frac{4 2 - 2}{3}

Dezimale

1.78104 \dots

Schritte zur Lösung

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

\int_{1}^{2} 2 x d x = 3

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

= 3 - \frac{4 2 - 2}{3}

\int_{0}^{\frac{π}{4}} (2 cos (x) + 1) d x

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

\int_{0}^{\frac{π}{2}} sinh (2 x) d x

\int_{- 2}^{0} x^{2} - 4 x d x

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