integral from pi/6 to pi/3 of tan(x)sec^2(x)

Lösung

\int_{\frac{π}{6}}^{\frac{π}{3}} tan (x) sec^{2} (x) d x

\frac{4}{3}

Dezimale

1.33333 \dots

Schritte zur Lösung

\int_{\frac{π}{6}}^{\frac{π}{3}} tan (x) sec^{2} (x) d x

Wende U-Substitution an

= \int_{\frac{3}{3}}^{3} u d u

Wende die Potenzregel an

= [\frac{u ^{2}}{2}]_{\frac{3}{3}}^{3}

\frac{3}{3} = \frac{1}{3}

= [\frac{u ^{2}}{2}]_{\frac{1}{3}}^{3}

Berechne die Grenzen:

\frac{4}{3}

= \frac{4}{3}

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