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Beliebt Rechnen >

integral from 0 to 1.5 of (3/2-x)^2

Lösung

\int_{0}^{1.5} (\frac{3}{2} - x)^{2} d x

Lösung

\frac{9}{8}

+1

Dezimale

1.125

Schritte zur Lösung

\int_{0}^{1.5} (\frac{3}{2} - x)^{2} d x

Wende U-Substitution an

= \int_{\frac{3}{2}}^{0} - u^{2} d u

\int_{a}^{b} f (x) d x = - \int_{b}^{a} f (x) d x, a < b

= - \int_{0}^{\frac{3}{2}} - u^{2} d u

Entferne die Konstante:

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

= - (- \int_{0}^{\frac{3}{2}} u^{2} d u)

Wende die Potenzregel an

= - (- [\frac{u ^{3}}{3}]_{0}^{\frac{3}{2}})

Vereinfache

= [\frac{u ^{3}}{3}]_{0}^{\frac{3}{2}}

Berechne die Grenzen:

\frac{9}{8}

= \frac{9}{8}

Graph

Beliebte Beispiele

y^{''}-8y^'+16y=t^{-8}e^{4t}

y^{^{''}} - 8 y^{^{'}} + 16 y = t^{- 8} e^{4 t}

integral of (cos^4(x)sin(x))

\int (cos^{4} (x) sin (x)) d x

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\int (x^{2} + 1) (x^{3} + 3 x)^{4} d x

integral of (2x+5)/(sqrt(x^2+5x))

\int \frac{2 x + 5}{x ^{2} + 5 x} d x

derivative f(x)=sqrt(7+\sqrt{5x)}

d er i v a t i v e f (x) = 7 + 5 x