de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

integral from 1 to 5 of 1/((5-x)^{5/2)}

Lösung

\int_{1}^{5} \frac{1}{( 5 - x ) ^{\frac{5}{2}}} d x

Lösung

divergiert

Schritte zur Lösung

\int_{1}^{5} \frac{1}{( 5 - x ) ^{\frac{5}{2}}} d x

Wende U-Substitution an

= \int_{4}^{0} - \frac{1}{u ^{\frac{5}{2}}} d u

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

= - \int_{0}^{4} - \frac{1}{u ^{\frac{5}{2}}} d u

Entferne die Konstante:

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

= - (- \int_{0}^{4} \frac{1}{u ^{\frac{5}{2}}} d u)

Wende die Potenzregel an

= - (- [- \frac{2}{3 u ^{\frac{3}{2}}}]_{0}^{4})

Vereinfache

= [- \frac{2}{3 u ^{\frac{3}{2}}}]_{0}^{4}

Berechne die Grenzen:

divergiert

= divergiert

Beliebte Beispiele

(\partial)/(\partial x)(y^3-3x^2y)

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

f(x)=(4x+5)^3(x^2-6x+5)^4

f (x) = (4 x + 5)^{3} (x^{2} - 6 x + 5)^{4}

integral of (36)/((1-x^2)^{3/2)}

\int \frac{36}{( 1 - x ^{2} ) ^{\frac{3}{2}}} d x

steigung (-5)(-5.1)

s l o p e (- 5) (- 5.1)

derivative of cos^{7/4}(4x^3)

\frac{d}{d x} (cos^{\frac{7}{4}} (4 x^{3}))