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JEE Main2013MathematicsDefinite IntegrationActual

The integral _ 7 / 4 ^ 7 / 3 ^2 x d x is equal to :

Options

  1. A2 2
  2. B2
  3. C2 2
  4. D2

Correct answer

D. 2

Step-by-step solution

Let I = _ 7 / 4 ^ 7 / 3 ^2 x d x = _ 7 / 4 ^ 7 / 3 x d x=- . x |_ 7 / 4 ^ 7 / 3 =- [ 7 3 - 7 4 ]= 7 4 - 7 3 = [ 7 4 7 3 ]= [ (2 - 4 ) (2 + 3 ) ]= ( 4 3 )= ( 1 2 1 2 )= ( 2 2 )= 2 .

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