integral from 0 to 3 of x^2-5x+6

Lösung

\int_{0}^{3} x^{2} - 5 x + 6 d x

\frac{9}{2}

Dezimale

4.5

Schritte zur Lösung

\int_{0}^{3} x^{2} - 5 x + 6 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}^{3} x^{2} d x - \int_{0}^{3} 5 x d x + \int_{0}^{3} 6 d x

\int_{0}^{3} x^{2} d x = 9

\int_{0}^{3} 5 x d x = \frac{45}{2}

\int_{0}^{3} 6 d x = 18

= 9 - \frac{45}{2} + 18

Vereinfache

9 - \frac{45}{2} + 18 : \frac{9}{2}

= \frac{9}{2}

\int_{0}^{\frac{5}{7}} \frac{1}{49 x ^{2} + 25} d x

\int_{1}^{e} π (ln (x))^{2} d x

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

\int_{1}^{3} \frac{18 ( ln ( x ) ) ^{5}}{x} d x

\int_{- 2}^{0} \frac{13}{6} x^{3} d x