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Grade 10Integral Calculus

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

Question image for Ans: Option 2 How do I solve this question??? Ple
Profile image of Myra
6 Years agoGrade 10
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2 Answers

Profile image of Aditya Gupta
ApprovedApproved Tutor Answer6 Years 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 :)
Profile image of Arun
ApprovedApproved Tutor Answer6 Years 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