-8 ÷ -3/16
evaluate the above equation
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Answer: ∫ log (x + 1) - log x dx/x (x + 1) = -1/2(log (x + 1))2 - 1/2 (log x)2 - log (x + 1) log x + C
Here is a detailed explanation.
Explanation:
Let log (x+1) - log x = t.
On differentiating the above equation with respect to 'x', we get
1/(x+1) - 1/x = dt/dx
d/dx log x = 1/x
On solving this we'll get,
-1/x (x+1) = dt/dx
dx = -x (x+1)dt
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