integral from pi/4 to pi/3 of-sec^2(θ)

Lösung

\int_{\frac{π}{4}}^{\frac{π}{3}} - sec^{2} (θ) d θ

- 3 + 1

Dezimale

- 0.73205 \dots

Schritte zur Lösung

\int_{\frac{π}{4}}^{\frac{π}{3}} - sec^{2} (θ) d θ

Entferne die Konstante:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= - \int_{\frac{π}{4}}^{\frac{π}{3}} sec^{2} (θ) d θ

Nutze das gemeinsame Integral :

\int sec^{2} (θ) d θ = tan (θ)

= - [tan (θ)]_{\frac{π}{4}}^{\frac{π}{3}}

Berechne die Grenzen:

3 - 1

= - (3 - 1)

Vereinfache

= - 3 + 1

\int_{1}^{2} \frac{1}{3} d x

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\int_{- 1}^{\frac{1}{2}} 4 x^{2} - x + \frac{1}{2} d x

\int_{- 4}^{0} 2 x^{3} + 12 x^{2} + 16 x d x