integral from 0 to pi/4 of 3sec(x)tan(x)

Lösung

\int_{0}^{\frac{π}{4}} 3 sec (x) tan (x) d x

3 (2 - 1)

Dezimale

1.24264 \dots

Schritte zur Lösung

\int_{0}^{\frac{π}{4}} 3 sec (x) tan (x) d x

Entferne die Konstante:

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

= 3 \cdot \int_{0}^{\frac{π}{4}} sec (x) tan (x) d x

Wende U-Substitution an

= 3 \cdot \int_{1}^{2} 1 d u

Integral einer Konstanten :

\int a d x = a x

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

Vereinfache

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

Berechne die Grenzen:

2 - 1

= 3 (2 - 1)

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