integral from pi/4 to 2pi of cos(x)

Lösung

\int_{\frac{π}{4}}^{2 π} cos (x) d x

- \frac{1}{2}

Dezimale

- 0.70710 \dots

Schritte zur Lösung

\int_{\frac{π}{4}}^{2 π} cos (x) d x

Nutze das gemeinsame Integral :

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

= [sin (x)]_{\frac{π}{4}}^{2 π}

Berechne die Grenzen:

- \frac{1}{2}

= - \frac{1}{2}

\int_{0}^{2} 5 (1 - e^{y}) d y

\int_{0}^{1} \frac{ln ( x )}{x ^{\frac{1}{3}}} d x

\int_{4}^{6} (x^{2} + 2 x - 5) d x

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

\int_{0}^{\frac{π}{6}} tan (x) d x