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Beliebt Rechnen >

integral from t to 2 of (1/(sqrt(x-1)))

Lösung

\int_{t}^{2} (\frac{1}{x - 1}) d x

Lösung

2 - 2 t - 1

Schritte zur Lösung

\int_{t}^{2} \frac{1}{x - 1} d x

Wende U-Substitution an

= \int_{t - 1}^{1} 2 d u

Integral einer Konstanten :

\int a d x = a x

= [2 u]_{t - 1}^{1}

Berechne die Grenzen:

2 - 2 t - 1

= 2 - 2 t - 1

Beliebte Beispiele

integral of 3^2

\int 3^{2} d x

derivative f(x)=e^{z/((z-2))}

d er i v a t i v e f (x) = e^{\frac{z}{( z - 2 )}}

integral of 1/((3x+1)^4)

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

(\partial)/(\partial x)(4sin(x^3y^2))

\frac{\partial}{\partial x} (4 sin (x^{3} y^{2}))

derivative ((3u^2))/((u^2+u)^3)

d er i v a t i v e \frac{( 3 u ^{2} )}{( u ^{2} + u ) ^{3}}