SOLVED:Properties of Continuity Prove that if f is continuous on an interval, then so is |f| .

What does it mean for a function to be continuous on an interval? | Study Prep in Pearson

SOLVED: 56. a) Let f(x) be a continuous function defined on the interval [0, a], where a is a positive constant.Prove that ∫f(x)dx = ∫(a-x)dx / (1 sinx cosx)(b) (i) Prove that ∫sinx / (1 cosx) dx = 0 ∫sinx(ii) Prove that ∫1 cosx / (1 sinx) dx(c) -Find ∫dx / (1 sinx)xsinx cosx 1 dx / (1 cosx)(1 sinx)(d) Using integration by parts, evaluate ∫xsinx cosx 1 dx