integral from 0 to ln(3) of e^{2x}

Lösung

\int_{0}^{l n (3)} e^{2 x} d x

4

Schritte zur Lösung

\int_{0}^{l n (3)} e^{2 x} d x

Wende U-Substitution an

= \int_{0}^{2 l n (3)} e^{u} \frac{1}{2} d u

Entferne die Konstante:

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

= \frac{1}{2} \cdot \int_{0}^{2 l n (3)} e^{u} d u

Nutze das gemeinsame Integral :

\int e^{u} d u = e^{u}

= \frac{1}{2} [e^{u}]_{0}^{2 l n (3)}

Berechne die Grenzen:

8

= \frac{1}{2} \cdot 8

Vereinfache

= 4

a re a y = 3 x, y = 9 x^{2}

in v erse l a pl a ce \frac{s - 1}{s ^{2} - 2 s + 1}

\int e^{- 0.06 x} d x

\frac{\partial}{\partial x} (y^{2} cos (x y))

\int 4 x (x^{2} + 28000)^{- \frac{2}{3}} d x