How do you integrate #1 / (x^5)#?

1 Answer
Nov 9, 2016

#-1/(4x^4)+c#

Explanation:

Integrate using the #color(blue)"power rule for integration"#

#color(orange)"Reminder " color(red)(bar(ul(|color(white)(2/2)color(black)(int(ax^n)dx=a/(n+1)x^(n+1))color(white)(2/2)|)))#

Express #1/x^5=x^-5#

#rArrintx^-5dx=1/(-5+1)x^(-5+1)+c#

#=-1/4x^-4+c=-1/(4x^4)+c#

where c is the constant of integration.