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Question
`int(5x + 2)/(3x - 4) dx` = ______
Options
`5/3x + 26/9 log|3x - 4| + c`
`5/3x - 26/9 log|3x - 4| + c`
`3/5x + 9/26 log|3x - 4| + c`
`3/5x - 9/26 log|3x - 4| + c`
MCQ
Fill in the Blanks
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Solution
`int(5x + 2)/(3x - 4) dx` = `underline(5/3x + 26/9 log|3x - 4| + c)`
Explanation:
`int(5x + 2)/(3x - 4) dx`
= `int(5/3 + (26/3)/(3x - 4))dx`
= `5/3int1. dx + 26/3int1/(3x - 4)dx`
= `5/3x + 26/3 . (log|3x - 4|)/3 + c`
= `5/3x + 26/9log|3x - 4| + c`
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