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Beliebt Rechnen >

integral from 0 to 1 of x^2e^{x^3+0}

Lösung

\int_{0}^{1} x^{2} e^{x^{3} + 0} d x

Lösung

\frac{e - 1}{3}

+1

Dezimale

0.57276 \dots

Schritte zur Lösung

\int_{0}^{1} x^{2} e^{x^{3} + 0} d x

Wende U-Substitution an

= \int_{0}^{1} \frac{e ^{u}}{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_{0}^{1} e^{u} d u

Nutze das gemeinsame Integral :

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

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

Berechne die Grenzen:

e - 1

= \frac{1}{3} (e - 1)

Vereinfache

= \frac{e - 1}{3}

Graph

Beliebte Beispiele

y^{^{''}} + y = x

tangent f(x)=3x^2+3x,\at x=-2

t an g e n t f (x) = 3 x^{2} + 3 x, at x = - 2

integral of |5x|

\int ∣ 5 x ∣ d x

derivative f(x)=(53)/(0.01x^2+1)

d er i v a t i v e f (x) = \frac{53}{0.01 x ^{2} + 1}

integral of (e^{-4x})/(x^2)

\int \frac{e ^{- 4 x}}{x ^{2}} d x