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Most Important Selected Qs for JEE AdvancedMathematicsDefinite Integration

The value of c _ 1+c ^ a+c [f(c x)+1] d x- _c^ a c f (c^2+x ) d x(c 0) , is equal to

Options

  1. A0
  2. Bc(a-1)
  3. Cac
  4. Da(c+1)

Correct answer

B. c(a-1)

Step-by-step solution

Putting c x=c^2+zc _ 1+c ^ a+c f(c x) d x= _c^ a c f (c^2+z ) d z So, the required value =c _ 1+c ^ a+c d x=c(a-1)

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