Question

como derivo e integro esta expresion?
$<var>\frac{4}{(x-5)^3}</var>$ 

Answer 1

Derivada:

$<var>\frac{4*3(x-5)^{2}*1-0*(x-5)^{3}}{4^{2}}</var>$

 

Integral:

 

$<var>\int{\frac{4}{(x-5)^{3}}}\, dx </var>$=

 

$<var>\int{4*\frac{1}{(x-5)^{3}}}\, dx</var>$=$<var>4\int{\frac{1}{(x-5)^{3}}}\, dx</var>$=

 

$<var>4\int{(x-5)^{-3}\, dx</var>$=4*$<var>(-\frac{(x-5)^{-4}}{4})+ c</var>$=

 

$<var>-(x-5)^{-4}+c</var>$

 

Espero q te sirva!!!!