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Beliebt Rechnen >

integral from-35 to 0 of 1/(sqrt(1-x))

Lösung

\int_{- 35}^{0} \frac{1}{1 - x} d x

Lösung

10

Schritte zur Lösung

\int_{- 35}^{0} \frac{1}{1 - x} d x

Wende U-Substitution an

= \int_{36}^{1} - \frac{1}{u} d u

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

= - \int_{1}^{36} - \frac{1}{u} d u

Entferne die Konstante:

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

= - (- \int_{1}^{36} \frac{1}{u} d u)

Wende die Potenzregel an

= - (- [2 u^{\frac{1}{2}}]_{1}^{36})

Vereinfache

- (- [2 u^{\frac{1}{2}}]_{1}^{36}) : [2 u]_{1}^{36}

= [2 u]_{1}^{36}

Berechne die Grenzen:

10

= 10

Graph

Beliebte Beispiele

integral of (14)/x

\int \frac{14}{x} d x

derivative f(x)=x^2*(x^3+2)

d er i v a t i v e f (x) = x^{2} \cdot (x^{3} + 2)

(dy)/(dx)=(16sqrt(x))/(e^y)

\frac{d y}{d x} = \frac{16 x}{e ^{y}}

y^{''}+4y=12sin(2x)

y^{^{''}} + 4 y = 12 sin (2 x)

derivative f(x)= 4/(3x^2)+1/(x^{2.1)}

d er i v a t i v e f (x) = \frac{4}{3 x ^{2}} + \frac{1}{x ^{2.1}}