TS EAMCET · Maths · Indefinite Integration
If and then
- A
- B
- C
- D
Answer & Solution
Correct Answer
(A)
Step-by-step Solution
Detailed explanation
∙1x-1x-2x-3=Ax-1+Bx-2+Cx-3 ⇒1=Ax-2x-3+Bx-1x-3+Cx-1x-2 Put x=1, 2, 3 A=12, B=-1, C=12 ∙xx-1x-2x-3=Px-1+Qx-2+Rx-3 ⇒x=Px-2x-3+Qx-1x-3+Rx-1x-2 Put x=1 ⇒P=12Put x=2 ⇒Q=2-1=-2 Put x=3 ⇒R=32 Now, A+2B+3C=12+-2+32=0 Also, P+Q+R=12-2+32=0…
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