integral from (3pi)/2 to pi/2 of cos(x)

Lösung

\int_{\frac{3 π}{2}}^{\frac{π}{2}} cos (x) d x

2

Schritte zur Lösung

\int_{\frac{3 π}{2}}^{\frac{π}{2}} cos (x) d x

\int_{a}^{b} f (x) d x = - \int_{b}^{a} f (x) d x, a < b

= - \int_{\frac{π}{2}}^{\frac{3 π}{2}} cos (x) d x

Nutze das gemeinsame Integral :

\int cos (x) d x = sin (x)

= - [sin (x)]_{\frac{π}{2}}^{\frac{3 π}{2}}

Berechne die Grenzen:

- 2

= - (- 2)

Vereinfache

= 2

\int_{0}^{\frac{π}{2}} sin^{4} (2 x) d x

\int_{0}^{2} x + 6 - x^{3} d x

\int_{0}^{\frac{π}{4}} cos (2 x) d x

\int_{0}^{4} π (3 x^{2})^{2} d x

\int_{1}^{10} t d t