integral from 0 to 6 of (x^2+2)

Lösung

\int_{0}^{6} (x^{2} + 2) d x

84

Schritte zur Lösung

\int_{0}^{6} x^{2} + 2 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}^{6} x^{2} d x + \int_{0}^{6} 2 d x

\int_{0}^{6} x^{2} d x = 72

\int_{0}^{6} 2 d x = 12

= 72 + 12

Vereinfache

= 84

\int_{0}^{\frac{π}{2}} \frac{1 - cos ( 2 θ )}{2} d θ

\int_{- 1}^{x} e^{t} d t

\int_{3}^{u} \frac{1}{x + x ^{2}} d x

\int_{1}^{9} \frac{x - 6}{x} d x

\int_{- π}^{π} x sin (k x) d x