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Ans: Option 2 How do I solve this question??? Please help... I tried using integration by parts

Ans: Option 2
How do I solve this question??? 
Please help...
I tried using integration by parts

Question Image
Grade:10

2 Answers

Aditya Gupta
2075 Points
one year ago
write integral as M= ∫log(1 – x)*1/x^2 dx
take first function u as log(1 – x) and secnd function v as 1/x^2.
now integrate by parts.we get
M= – log(1 – x)/x + ∫dx/[x(x – 1)]
integrate ∫dx/[x(x – 1)] using partial fractions.
so option (2) is  correct.
kindly approve :)
Arun
25763 Points
one year ago
Dear student
 
let log (1- x) = t
 
then 1/(1-x) dx = dt
 
dx = e^t et
 
hence
Integration of (t e^t dt /(1 – e^2t)
 
Now you can solve it is now eqsy proboems

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