AP EAMCET · Maths · Indefinite Integration
If then
- A
- B
- C
- D
Answer & Solution
Correct Answer
(C)
Step-by-step Solution
Detailed explanation
We have,x3(2x-1)(x-1)2=A+B2x-1+Cx-1+Dx-12 Now, Dr=(2x-1)(x-1)2 =(2x-1)(x2-2x+1) =2x3-5x2+4x-1 Now, x3(2x-1)(x-1)2=122x3(2x-1)(x-1)2 =122x3-5x2+4x-1+5x2-4x+1(2x-1)(x-1)2 =121+5x2-4x+1(2x-1)(x-1)2 =12+125x2-4x+1(2x-1)(x-1)2 ...i Now, 5x2-4x+12x-1x-12=B2x-1+Cx-1+Dx-12…
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