Evaluating a Zero-Width Integral
Evaluate the integral \(\int_a^a f(x)\,dx\) and explain why this property holds true.
Reversing Limits and Evaluating Definite Integrals
Evaluate the definite integral \(\int_{8}^{3} \left(4 – \frac{x}{2}\right)\,dx\) using the property that \(\int_a^b f(x)dx = -\int_b^a f(x)dx\) and the linearity of integrals.