Problem

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

Solution

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

Step 2 :\( \int \frac{1}{5}(x - 2 + \frac{1}{x^{2}}) d x\)

Step 3 :\( \frac{1}{5}(\frac{1}{2}x^{2} - 2x - 1 - \frac{1}{x}) + C \)

From Solvely APP
Source: https://solvelyapp.com/problems/20996/

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