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Question
Evaluate the following integrals : `int(5x + 2)/(3x - 4).dx`
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Solution
`int(5x + 2)/(3x - 4).dx`
= `int(5/3 (3x - 4) + 20/3 + 2)/(3x - 4) dx`
= `int(5/3 (3x - 4) + 26/3)/(3x - 4) dx`
= `int[5/3 + ((26/3))/(3x - 4)] dx`
= `(5)/(3)int 1 dx + (26)/(3) int 1/(3x - 4) dx`
= `(5)/(3)x + (26)/(3).(1)/(3)log|3x - 4| + c`
= `(5)/(3)x + (26)/(9)log|3x - 4| + c`
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