NCERT Miscellaneous Exercise Q40 - Integrals
Question: If f(a + b - x) = f(x), then int_a^b x f(x) dx equals (A) ((a+b)/2) int_a^b f(b - x) dx (B) ((a+b)/2) int_a^b f(x) dx (C) -int_a^b f(x) dx (D) ((a+b)/2) int_a^b f(x) dx.
Answer: (D)
Full step-by-step NCERT solution with diagrams on Something by Zero.