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TS EAMCET · Maths · Indefinite Integration

If x2+3x2+1x2+2=Ax+Bx2+1+Cx+Dx2+2 then A+B+C+D=

  1. A 3
  2. B 2
  3. C 0
  4. D 1
Verified Solution

Answer & Solution

Correct Answer

(D) 1

Step-by-step Solution

Detailed explanation

Given: x2+3x2+1x2+2=Ax+Bx2+1+Cx+Dx2+2 ⇒x2+3x2+1x2+2=Ax+Bx2+2+Cx+Dx2+1x2+1x2+2 ⇒x2+3=Ax+Bx2+2+Cx+Dx2+1 ⇒x2+3=A+Cx3+B+Dx2+2A+Cx+2B+D On comparing coefficients both sides, we get…