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Beliebt Rechnen >

integral from 1 to b of 1/((x+6)^2)

Lösung

\int_{1}^{b} \frac{1}{( x + 6 ) ^{2}} d x

Lösung

- \frac{1}{b + 6} + \frac{1}{7}

Schritte zur Lösung

\int_{1}^{b} \frac{1}{( x + 6 ) ^{2}} d x

Wende U-Substitution an

= \int_{7}^{b + 6} \frac{1}{u ^{2}} d u

Wende die Potenzregel an

= [- \frac{1}{u}]_{7}^{b + 6}

Berechne die Grenzen:

- \frac{1}{b + 6} + \frac{1}{7}

= - \frac{1}{b + 6} + \frac{1}{7}

Beliebte Beispiele

integral of t^2sin(βt)

\int t^{2} sin (βt) d t

integral of x(x^2+3)^{100}

\int x (x^{2} + 3)^{100} d x

derivative of xln(1-x)

\frac{d}{d x} (x ln (1 - x))

limit as n approaches infinity of 2^n

n \to \infty lim (2^{n})

(\partial)/(\partial x)(e^{3x})

\frac{\partial}{\partial x} (e^{3 x})