integral from-1 to 5 of 3x^2+6x

Lösung

\int_{- 1}^{5} 3 x^{2} + 6 x d x

198

Schritte zur Lösung

\int_{- 1}^{5} 3 x^{2} + 6 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_{- 1}^{5} 3 x^{2} d x + \int_{- 1}^{5} 6 x d x

\int_{- 1}^{5} 3 x^{2} d x = 126

\int_{- 1}^{5} 6 x d x = 72

= 126 + 72

Vereinfache

= 198

t an g e n t y = 4 x^{3} - 4 x, (- 1, 0)

x \to - 2 lim (- 3)

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

\int cot^{3} (\frac{x}{2}) csc^{2} (\frac{x}{2}) d x

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