integral from-2 to 3 of (5x^2-3x)

Lösung

\int_{- 2}^{3} (5 x^{2} - 3 x) d x

\frac{305}{6}

Dezimale

50.83333 \dots

Schritte zur Lösung

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

\int_{- 2}^{3} 5 x^{2} d x = \frac{175}{3}

\int_{- 2}^{3} 3 x d x = \frac{15}{2}

= \frac{175}{3} - \frac{15}{2}

Vereinfache

\frac{175}{3} - \frac{15}{2} : \frac{305}{6}

= \frac{305}{6}

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

\int_{1}^{2.2} x^{3} \cdot e^{x + 1} d x

\int_{0}^{2} \frac{2 x - 1}{( x + 3 ) ^{2}} d x

\int_{- 1}^{8} 3 x^{2} d x

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