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Beliebt Rechnen >

integral from 4 to 9 of x/(sqrt(9+x^2))

Lösung

\int_{4}^{9} \frac{x}{9 + x ^{2}} d x

Lösung

310 - 5

+1

Dezimale

4.48683 \dots

Schritte zur Lösung

\int_{4}^{9} \frac{x}{9 + x ^{2}} d x

Wende U-Substitution an

= \int_{25}^{90} \frac{1}{2 u} d u

Entferne die Konstante:

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

= \frac{1}{2} \cdot \int_{25}^{90} \frac{1}{u} d u

Wende die Potenzregel an

= \frac{1}{2} [2 u^{\frac{1}{2}}]_{25}^{90}

Wende Radikal Regel an:

a^{\frac{1}{n}} = n a

= \frac{1}{2} [2 u]_{25}^{90}

Berechne die Grenzen:

610 - 10

= \frac{1}{2} (610 - 10)

Vereinfache

= 310 - 5

Graph

Beliebte Beispiele

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

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

(11y^2-xy)dx+x^2dy=0

(11 y^{2} - x y) d x + x^{2} d y = 0

integral from 3 to 5 of e^{-x/2}

\int_{3}^{5} e^{- \frac{x}{2}} d x

integral of sin^3(16x)

\int sin^{3} (16 x) d x

derivative f(x)= 1/((x^3+7)^4)

d er i v a t i v e f (x) = \frac{1}{( x ^{3} + 7 ) ^{4}}