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Beliebt Rechnen >

integral from 3 to 5 of e^{6x}

Lösung

\int_{3}^{5} e^{6 x} d x

Lösung

\frac{e ^{30} - e ^{18}}{6}

+1

Dezimale

1781068153592.5515

Schritte zur Lösung

\int_{3}^{5} e^{6 x} d x

Wende U-Substitution an

= \int_{18}^{30} e^{u} \frac{1}{6} d u

Entferne die Konstante:

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

= \frac{1}{6} \cdot \int_{18}^{30} e^{u} d u

Nutze das gemeinsame Integral :

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

= \frac{1}{6} [e^{u}]_{18}^{30}

Berechne die Grenzen:

e^{30} - e^{18}

= \frac{1}{6} (e^{30} - e^{18})

Vereinfache

= \frac{e ^{30} - e ^{18}}{6}

Graph

Beliebte Beispiele

derivative f(x)=sqrt(3-2x)

d er i v a t i v e f (x) = 3 - 2 x

integral of (x^4+1)/(x^2+1)

\int \frac{x ^{4} + 1}{x ^{2} + 1} d x

derivative 0.882a^{0.842}

d er i v a t i v e 0.882 a^{0.842}

integral from-2 to 2 of |x|-(x^2-2)

\int_{- 2}^{2} ∣ x ∣ - (x^{2} - 2) d x

derivative (x^3+1)e^x

d er i v a t i v e (x^{3} + 1) e^{x}