## Let a + b = 4, where a < 2, and let g(x) be a differentiable function. If dg/dx > 0 for all x ….

Q: Let a + b = 4, where a < 2, and let g(x) be a differentiable function. If dg/dx > 0 for all x , Prove that $\displaystyle \int_{0}^{a} g(x) dx + \int_{0}^{b} g(x) dx $ increases as (b – a) increases. Sol. Let b – a = t given a + b = … Read more