Using Property (4) of the Definite Integral

  1. If \(f\) is continuous on the closed interval \([2,7]\), then \[ \int_{2}^{7}f(x)\,dx=\int_{2}^{4}f(x)\,dx+\int_{4}^{7}f(x)\,dx \]
  2. If \(g\) is continuous on the closed interval \([3,25]\), then \[ \int_{3}^{10}g(x)\,dx=\int_{3}^{25}g (x)\,dx+ \int_{25}^{10}g(x) dx \]