(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

∫ x^(5)-2x^(2)-1/3x^(4) dx

2. Relevant equations

I am familiar with the power rule and how to split the expression into three separate expressions and then simplifying. I just cant seem to sort out my algebra for this problem.

xn dx = xn+1

n + 1 + C if n is NOT= -1

x-1 dx = ln|x|+ C

3. The attempt at a solution

Here is where i become stuck...Please show me a step by step process to solving the remainder of this problem; that way i can analyze it more deeply. Please Point out any things that seem wrong,i would REALLY appreciate the help given. :) :

∫ (x^5/3x^4 -2x^2/3x^4 -1/3x^4)dx = ∫ 1/3x -2x^(-2) -1/3x^(-4)dx = ∫ (x^2/6 + 2/x +1/9x^3) + C <------- This is the part where i become flabbergasted. . .Its simple im sure but i just cannot see it. I was thinking about multiplying the whole expression by 18x^3 but i am not sure if that is correct.

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# Homework Help: Need some assistance with integration

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