ID: Class: 12 Subject: Math Topic: Integrals Type: Mcq Year: 2025

Question:

For a function \(f(x)\) which of the following holds true?
  • A. \(\int_{a}^{b}f(x)dx=\int_{a}^{b}f(a+b-x)dx\)
  • B. \(\int_{-a}^{a}f(x)dx=0,\) if f is an even function
  • C. \(\int_{-a}^{a}f(x)dx=2\int_{0}^{a}f(x)dx,\) if f is an odd function
  • D. \(\int_{0}^{2a}f(x)dx=\int_{0}^{a}f(x)dx-\int_{0}^{a}f(2a+x)dx\)