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Show that Int_0^A F(X)G (X)Dx = 2 Int_0^A F(X) Dx If F And G Are Defined as `F(X) = F(A-x) and G(X) + G(A-x) = 4 - Mathematics

Show that `int_0^a f(x)g (x)dx = 2 int_0^a f(x) dx `if f and g are defined as `f(x) = f(a-x) and g(x) + g(a-x) = 4`

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NCERT Class 12 Maths
Chapter 7 Integrals
Q 19 | Page 347
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