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Most Important Selected Qs for JEE AdvancedMathematicsDefinite Integration

Let I(a)= ₀^a ( a+ x) d x , where a (0, 2 ) then I(1) has value equal to

Options

  1. A( 1)
  2. B- ( 1)
  3. C( cosec 1)
  4. D( 1)

Correct answer

C. ( cosec 1)

Step-by-step solution

aligned & ₀^a ( a+ x) d x= ₀^a ( (a-x) a x ) d x & = ₀^a (a-x) d x- ₀^a a d x- ₀^a x d x & I(a)=- ( a) a & I(1)=- ( a)= | cosec 1| aligned

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