Question

Select the formula for \[P_2\] : Splitting the Interval.

Options

• \[\int_{0}^{2a} f(x)\,dx=0\]

• \[\int_{a}^{b} f(x)\,dx=\int_{a}^{b} f(t)\,dt\]

• \[\int_{0}^{a} f(x)\,dx=\int_{0}^{a} f(a-x)\,dx\]

• \[\int_{a}^{b} f(x)\,dx=\int_{a}^{c} f(x)\,dx+\int_{c}^{b} f(x)\,dx\]

Answer 1

Splitting the Interval writes the integral from \[a\] to \[b\] as two integrals. The splitting point is \[c\].