Question

Which property is represented by \[\int_{a}^{b} f(x)\,dx=\int_{a}^{b} f(t)\,dt\]?

Options

• \[P_0\] : Change of Variable

• \[P_3\] : The "King's Rule"

• \[P_2\] : Splitting the Interval

• \[P_1\] : Reversing Limits

Answer 1

\[P_0\] is Change of Variable. Changing the variable of integration does not change the value of the integral.