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Grade 11Integral Calculus

please integrate the following
∫(ax+b)/(cx+d)2 I am unable to understandd its solution in book please explain properly

Profile image of apurva
6 Years agoGrade 11
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1 Answer

Profile image of Vikas TU
6 Years ago
Dear student 
Writing this equatioon in partial fraction 
(ax + b )/(cx + d)2 = A / (cx + d)  + B / (cx + d)2
ax + b = A( cx + d) + B 
put x = -d/c 
-ad/c + b = (-ad + bc) /c 
put  x =0 
b = Ad + B 
b – B = b – (-ad + bc ) / c 
A = a/c 
Put the values and integrate yu will get :
a/c2 log|cx + d| – (-ad + bc )/c2 * 1/(cx + d)

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