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Beliebt Rechnen >

integral from 1 to b of 1/((x+4)^2)

Lösung

\int_{1}^{b} \frac{1}{( x + 4 ) ^{2}} d x

Lösung

- \frac{1}{b + 4} + \frac{1}{5}

Schritte zur Lösung

\int_{1}^{b} \frac{1}{( x + 4 ) ^{2}} d x

Wende U-Substitution an

= \int_{5}^{b + 4} \frac{1}{u ^{2}} d u

Wende die Potenzregel an

= [- \frac{1}{u}]_{5}^{b + 4}

Berechne die Grenzen:

- \frac{1}{b + 4} + \frac{1}{5}

= - \frac{1}{b + 4} + \frac{1}{5}

Beliebte Beispiele

integral of 1/6 sin(6t)

\int \frac{1}{6} sin (6 t) d t

f(x)=sqrt(3+x^2)

f (x) = 3 + x^{2}

tangent y=sqrt(x^2-x+2),\at x=2

t an g e n t y = x^{2} - x + 2, at x = 2

limit as x approaches 0 of xsin(8/x)

x \to 0 lim (x sin (\frac{8}{x}))

(6+x)(dy)/(dx)=3y

(6 + x) \frac{d y}{d x} = 3 y