integral from-9 to 0 of (y/9+sqrt(y+10))

Lösung

\int_{- 9}^{0} (\frac{y}{9} + y + 10) d y

- \frac{9}{2} + \frac{20 10 - 2}{3}

Dezimale

15.91518 \dots

Schritte zur Lösung

\int_{- 9}^{0} \frac{y}{9} + y + 10 d y

Wende die Summenregel an:

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

= \int_{- 9}^{0} \frac{y}{9} d y + \int_{- 9}^{0} y + 10 d y

\int_{- 9}^{0} \frac{y}{9} d y = - \frac{9}{2}

\int_{- 9}^{0} y + 10 d y = \frac{20 10 - 2}{3}

= - \frac{9}{2} + \frac{20 10 - 2}{3}

\int_{0}^{\frac{1}{2}} 81 - 324 x^{2} d x

\int_{0}^{x} q (1 - \frac{x}{L}) d x

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

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

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