integral from 1 to 4 of x^2-3x

Lösung

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

- \frac{3}{2}

Dezimale

- 1.5

Schritte zur Lösung

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

\int_{1}^{4} x^{2} d x = 21

\int_{1}^{4} 3 x d x = \frac{45}{2}

= 21 - \frac{45}{2}

Vereinfache

21 - \frac{45}{2} : - \frac{3}{2}

= - \frac{3}{2}

\int_{0}^{4} \frac{x}{x ^{2} - 1} d x

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

a re a y = x^{2}, y = 3 - x, (0, 1.3)

d er i v a t i v e f (x) = 3 x^{2} e^{x} + e^{x} (x^{3} + 1)

y^{^{'}} = 18.2 - 0.7 y