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JEE Main 2019 · 12 Jan · Shift I

JEE Main 2019 Mathematics question on Definite Integrals and Areas

Let ff and gg be continuous functions on [0,a][0, a] such that f(x)=f(a−x)f(x) = f(a - x) and g(x)+g(a−x)=4g(x) + g(a - x) = 4, then ∫0af(x) g(x) dx\int_0^a f(x)\, g(x)\, dx is equal to
  1. A.
    4∫0af(x) dx4\int_0^a f(x)\, dx
  2. B.
    ∫0af(x) dx\int_0^a f(x)\, dx
  3. C.
    2∫0af(x) dx2\int_0^a f(x)\, dx
  4. D.
    −3∫0af(x) dx-3\int_0^a f(x)\, dx
Show answer

Correct option: C

[JEE Main 2019 · 12 Jan · Shift I]

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