integral from 3 to 5 of x^2-4x

Lösung

\int_{3}^{5} x^{2} - 4 x d x

\frac{2}{3}

Dezimale

0.66666 \dots

Schritte zur Lösung

\int_{3}^{5} x^{2} - 4 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_{3}^{5} x^{2} d x - \int_{3}^{5} 4 x d x

\int_{3}^{5} x^{2} d x = \frac{98}{3}

\int_{3}^{5} 4 x d x = 32

= \frac{98}{3} - 32

Vereinfache

\frac{98}{3} - 32 : \frac{2}{3}

= \frac{2}{3}

\int_{0.8}^{1} 5 (1 - x) d x

\int_{x}^{2} \frac{x y}{2} d y

\int_{- 2}^{3} (2 x - 1) d x

\int_{2}^{4} (25 - x^{2})^{2} d x

\int_{2}^{3} t 1 + 4 t^{2} d t