integral from-(5pi)/2 to (5pi)/2 of (cos(x)-2)

Lösung

\int_{- \frac{5 π}{2}}^{\frac{5 π}{2}} (cos (x) - 2) d x

2 - 10 π

Dezimale

- 29.41592 \dots

Schritte zur Lösung

\int_{- \frac{5 π}{2}}^{\frac{5 π}{2}} cos (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_{- \frac{5 π}{2}}^{\frac{5 π}{2}} cos (x) d x - \int_{- \frac{5 π}{2}}^{\frac{5 π}{2}} 2 d x

\int_{- \frac{5 π}{2}}^{\frac{5 π}{2}} cos (x) d x = 2

\int_{- \frac{5 π}{2}}^{\frac{5 π}{2}} 2 d x = 10 π

= 2 - 10 π

\int_{0}^{π} cos (x) sin (2 x) d x

\int_{0}^{4} (8 - 2 x) d x

\int_{- π}^{π} cos (n) x d x

\int_{0}^{\frac{π}{3}} sin (x) cos (x) d x

\int_{0}^{2} - x^{2} + 2 x + 3 d x