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MHT CET · Maths · Definite Integration

abxx+a+b-xdx=.........

  1. A a+b
  2. B b-a2
  3. C a-b
  4. D a-b2
Verified Solution

Answer & Solution

Correct Answer

(B) b-a2

Step-by-step Solution

Detailed explanation

Let l=abxax+a+b-xdx ….(i)
l=aba+b-xa+b-x+a+b-a+b-x
l=aba+b-xa+b-x+x ….(ii)
On adding Eqs. (i) and (ii), we get
2l=abx+a+b-xx+a+b-xdx
2l=abdx=xab=b-a
l=b-a2