integral from-6 to-3 of 2x^2+16x+34

Lösung

\int_{- 6}^{- 3} 2 x^{2} + 16 x + 34 d x

12

Schritte zur Lösung

\int_{- 6}^{- 3} 2 x^{2} + 16 x + 34 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_{- 6}^{- 3} 2 x^{2} d x + \int_{- 6}^{- 3} 16 x d x + \int_{- 6}^{- 3} 34 d x

\int_{- 6}^{- 3} 2 x^{2} d x = 126

\int_{- 6}^{- 3} 16 x d x = - 216

\int_{- 6}^{- 3} 34 d x = 102

= 126 - 216 + 102

Vereinfache

= 12

\int_{0}^{\frac{π}{3}} cos (2 t) d t

\int_{1}^{e} \frac{x ^{2} + ln ( x )}{x} d x

\int_{1}^{8} x^{\frac{1}{3}} - x^{- \frac{1}{3}} d x

\int_{0}^{1} y 1 - y d y

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