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COMEDK2017MathematicsDefinite Integration

_ - / 4 ^ / 4 d x 1+ 2 x is equal to

Options

  1. A1
  2. B2
  3. C3
  4. D4

Correct answer

A. 1

Step-by-step solution

f(x)=1+ 2 x and aligned f(-x) &=1+ (-2 x)=1+ 2 x=f(x) f(x) &=f(-x) aligned Hence, f(x) is even function. aligned &=2 ₀^ / 4 d x 1+ 2 x &=2 ₀^ / 4 d x 2 ² x &=2 ₀^ / 4 1 2 ² x d x &=[ x]₀^ / 4 = ( 4 - 0 )=1 aligned

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