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AP EAMCET201822 Apr 2018Morning ShiftMathematicsDefinite IntegrationActual

₀^ / 3 f(x) f(x)+f ( -3 x 3 ) d x=

Options

  1. A2 3
  2. B2
  3. C3
  4. D6

Correct answer

D. 6

Step-by-step solution

(d) Let gathered I= ₀^ / 3 f(x) f(x)+f ( -3 x 3 ) d x I= ₀^ / 3 f ( 3 -x ) f ( 3 -x )+f ( -3 ( 3 -x ) 3 ) d x . I= ₀^ / 3 f ( i ) 3 f(x) d x= ₀^ f(a-x) . f ( -3 x 3 )+f(x) d x ] gathered On adding Eqs. (i) and (ii), we get aligned & 2 I= ₀^ / 3 1 d x & 2 I=[x]₀^ / 3 & 2 I= 3 & I= 6 . & aligned

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