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Question
`intx/(x + 2)dx` = ______
Options
x + log |x + 2| + c
x - log |x + 2| + c
x - 2log |x + 2| + c
x + 2log |x + 2| + c
MCQ
Fill in the Blanks
Solution
`intx/(x + 2)dx` = x - 2log |x + 2| + c
Explanation:
`intx/(x + 2)dx = int((x + 2) - 2)/(x + 2)dx`
= `int((x + 2)/(x + 2) - 2/(x + 2))`dx
= `int(1 - 2/(x + 2))dx`
= `int1 . dx - 2int1/(x + 2)dx`
= x - 2log |x + 2| + c
shaalaa.com
Definite Integral as Limit of Sum
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