integral from-7 to-5 of 3/((x+6)^{8/11)}

Lösung

\int_{- 7}^{- 5} \frac{3}{( x + 6 ) ^{\frac{8}{11}}} d x

22

Schritte zur Lösung

\int_{- 7}^{- 5} \frac{3}{( x + 6 ) ^{\frac{8}{11}}} d x

Bestimme unbestimmte (Singularitäts-)Punkte:

x = - 6

Wenn

b, a < b < c, f (b) =

unbestimmt

, \int_{a}^{c} f (x) d x = \int_{a}^{b} f (x) d x + \int_{b}^{c} f (x) d x

= \int_{- 7}^{- 6} \frac{3}{( x + 6 ) ^{\frac{8}{11}}} d x + \int_{- 6}^{- 5} \frac{3}{( x + 6 ) ^{\frac{8}{11}}} d x

\int_{- 7}^{- 6} \frac{3}{( x + 6 ) ^{\frac{8}{11}}} d x = - 11 (- 1)^{\frac{3}{11}}

\int_{- 6}^{- 5} \frac{3}{( x + 6 ) ^{\frac{8}{11}}} d x = 11

= - 11 (- 1)^{\frac{3}{11}} + 11

Vereinfache

- 11 (- 1)^{\frac{3}{11}} + 11 : 22

= 22

t an g e n t f (x) = 1 - tan (x), at x = - \frac{π}{4}

\int 7 e^{2 x} d x

\frac{d y}{d x} = \frac{( y - 1 )}{y + x}

in v erse l a pl a ce \frac{( s - 1 )}{s \cdot ( s ^{2} + s + 1 )}

\int \frac{x ^{5}}{( 1 + x ^{3} ) ^{\frac{5}{2}}} d x