Question

When is \[P_4\] : Special Case of \[P_3\] applied?

Options

• When \[f(2a-x)=-f(x)\]

• When the upper and lower limits are equal

• When \[f(-x)=-f(x)\]

• When the lower limit is zero

Answer 1

\[P_4\] is applied when the lower limit is zero. Its formula is \[\int_{0}^{a} f(x)\,dx=\int_{0}^{a} f(a-x)\,dx\].