integral from pi/4 to (5pi)/4 of cos(x)

Lösung

\int_{\frac{π}{4}}^{\frac{5 π}{4}} cos (x) d x

- 2

Dezimale

- 1.41421 \dots

Schritte zur Lösung

\int_{\frac{π}{4}}^{\frac{5 π}{4}} cos (x) d x

Nutze das gemeinsame Integral :

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

= [sin (x)]_{\frac{π}{4}}^{\frac{5 π}{4}}

Berechne die Grenzen:

- 2

= - 2

\int_{- 2}^{5} \frac{2}{3} d x

\int_{1}^{1.5} (2 x + \frac{3}{2 x ^{2}}) d x

\int_{1}^{5} (x + 1) (x^{2} + 2 x)^{2} d x

\int_{0}^{\frac{π}{4}} cos (x) + 1 d x

\int_{- 1}^{0} (2 x + 5)^{3} d x