integral from 1 to 2 of (5x^2-3)

Lösung

\int_{1}^{2} (5 x^{2} - 3) d x

\frac{26}{3}

Dezimale

8.66666 \dots

Schritte zur Lösung

\int_{1}^{2} 5 x^{2} - 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}^{2} 5 x^{2} d x - \int_{1}^{2} 3 d x

\int_{1}^{2} 5 x^{2} d x = \frac{35}{3}

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

= \frac{35}{3} - 3

Vereinfache

\frac{35}{3} - 3 : \frac{26}{3}

= \frac{26}{3}

\int_{0}^{5} sin (t^{2}) d t

\int_{3}^{6} 3 d x

\int_{0}^{1} x^{2} (4 - x^{3})^{3} d x

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

\int_{2}^{5} \frac{k}{x ^{3}} d x