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1990

JEE Main 1990 Mathematics question on Definite Integrals and Areas

Let f:R→Rf: R \to R and g:R→Rg: R \to R be continuous functions. Then, the value of the integral
∫−π/2π/2[f(x)+f(−x)][g(x)−g(−x)] dx\int_{-\pi/2}^{\pi/2} [f(x) + f(-x)][g(x) - g(-x)]\, dx
  1. A.
    π\pi
  2. B.
    11
  3. C.
    −1-1
  4. D.
    00
Show answer

Correct option: D

[1990]

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