integral from 0 to 5 of 7x-x^2-2x

Lösung

\int_{0}^{5} 7 x - x^{2} - 2 x d x

\frac{125}{6}

Dezimale

20.83333 \dots

Schritte zur Lösung

\int_{0}^{5} 7 x - x^{2} - 2 x d x

Vereinfache

= \int_{0}^{5} - x^{2} + 5 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_{0}^{5} x^{2} d x + \int_{0}^{5} 5 x d x

\int_{0}^{5} x^{2} d x = \frac{125}{3}

\int_{0}^{5} 5 x d x = \frac{125}{2}

= - \frac{125}{3} + \frac{125}{2}

Vereinfache

- \frac{125}{3} + \frac{125}{2} : \frac{125}{6}

= \frac{125}{6}

x \to 0 lim (sec (x))

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

d er i v a t i v e f (x) = e^{e x}

y^{^{''}} - 4 y^{^{'}} + 3 y = 0, y (0) = - 4, y^{^{'}} (0) = 5

\frac{\partial}{\partial x} (33 - 3 x^{2} - 3 y^{2})