integral from 0 to 3 of x^2-1

Lösung

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

6

Schritte zur Lösung

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

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

\int_{0}^{3} 1 d x = 3

= 9 - 3

Vereinfache

= 6

\int_{4}^{7} x^{3} d x

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

\int_{2}^{5} 2000 x + 1000 d x

\int_{5}^{10} \frac{2 t}{t ^{2} + 1} d t

\int_{- 2}^{1} \frac{t}{( t ^{2} + 1 ) ^{2}} d t