integral from 2 to 5 of (3x^2-4x+2)

Lösung

\int_{2}^{5} (3 x^{2} - 4 x + 2) d x

81

Schritte zur Lösung

\int_{2}^{5} 3 x^{2} - 4 x + 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_{2}^{5} 3 x^{2} d x - \int_{2}^{5} 4 x d x + \int_{2}^{5} 2 d x

\int_{2}^{5} 3 x^{2} d x = 117

\int_{2}^{5} 4 x d x = 42

\int_{2}^{5} 2 d x = 6

= 117 - 42 + 6

Vereinfache

= 81

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

\int_{- 4}^{2} x^{3} + 2 x - 5 d x

\int_{1}^{\infty} \frac{1}{2 x + 8} d x

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

\int_{0}^{1} cos^{2} (a x) d x