integral from-4 to-1 of-4/x+4x

Lösung

\int_{- 4}^{- 1} - \frac{4}{x} + 4 x d x

8 ln (2) - 30

Dezimale

- 24.45482 \dots

Schritte zur Lösung

\int_{- 4}^{- 1} - \frac{4}{x} + 4 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_{- 4}^{- 1} \frac{4}{x} d x + \int_{- 4}^{- 1} 4 x d x

\int_{- 4}^{- 1} \frac{4}{x} d x = - 8 ln (2)

\int_{- 4}^{- 1} 4 x d x = - 30

= - (- 8 ln (2)) - 30

Vereinfache

= 8 ln (2) - 30

\int_{1}^{2} x^{3} 9 + x^{2} d x

\int_{0}^{6} \frac{1}{( 2 x + 7 ) ^{2}} d x

\int_{0}^{3} (1 + 9 - x^{2}) d x

\int_{0}^{2 π} (1 + cos (x)) d x

\int_{0.2}^{0.8} 2 x d x