integral from-2.5 to 0 of e^{3x}

Lösung

\int_{- 2.5}^{0} e^{3 x} d x

0.33314 \dots

Schritte zur Lösung

\int_{- 2.5}^{0} e^{3 x} d x

Wende U-Substitution an

= \int_{- 7.5}^{0} e^{u} \frac{1}{3} d u

Entferne die Konstante:

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

= \frac{1}{3} \cdot \int_{- 7.5}^{0} e^{u} d u

Nutze das gemeinsame Integral :

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

= \frac{1}{3} [e^{u}]_{- 7.5}^{0}

Vereinfache

= 0.33333 \dots [e^{u}]_{- 7.5}^{0}

Berechne die Grenzen:

0.99944 \dots

= 0.33333 \dots \cdot 0.99944 \dots

Vereinfache

= 0.33314 \dots

\frac{\partial}{\partial x} (2 x y + x^{3})

8^{^{'}}

\int \frac{8}{x ln ( 3 x )} d x

x \to - 2 lim (\frac{1}{x})

t an g e n t f (x) = \frac{5}{x}, at x = 4