How do you integrate #f(x)=x^3-3x-2x^-4# using the power rule?

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Answer 1 · 2016-11-18T16:01:53

#1/4x^4-3/2x^2+2/3x^-3+C#

for polynomials

#intx^ndx=x^(n+1)/(n+1)+C,n!=-1#

#int(x^3-3x-2x^(-4))dx#

#=x^(3+1)/(3+1)-3x^(1+1)/(1+1)-2x^(-4+1)/(-4+1)+C#

#=x^4/4-(3x^2)/2-(2x^-3)/-3+C#

tidying up

#1/4x^4-3/2x^2+2/3x^-3+C#