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Question
`int(1 + logx)^3/xdx` = ______
Options
4(1 + log x)4 + c
3(1 +log x)3 + c
`1/3(1 + logx)^3 + c`
`1/4(1 + logx)^4 + c`
MCQ
Fill in the Blanks
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Solution
`int(1 + logx)^3/xdx` = `underline(1/4(1 + logx)^4 + c)`
Explanation:
Put (1 + logx) = t ⇒ `1/x`dx = dt
∴ `int(1 + logx)^3/xdx = intt^3 dt`
= `t^4/4 + c = 1/4(1 + logx)^4 + c`
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Some Special Integrals
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