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

Lösung

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

\frac{20}{3}

Dezimale

6.66666 \dots

Schritte zur Lösung

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

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

\int_{- 1}^{1} 2 x d x = 0

\int_{- 1}^{1} 3 d x = 6

= \frac{2}{3} - 0 + 6

Vereinfache

\frac{2}{3} - 0 + 6 : \frac{20}{3}

= \frac{20}{3}

y = (2 y^{4} + 2 x) \frac{d y}{d x}

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

\frac{\partial}{\partial x} (cos (x^{3}))

\frac{\partial}{\partial x} (x e^{y} - 1)

s l o p e x^{2} + y^{2} = 27