Q1. The lower Rieman Integral convergence exceed the upper Rieman integral. i.e f f(x)dx f f (x)dx| Q2. State And Prove Darbox Theorem. Q3. f(x) is defined on [0, a], Where a > 0, by f(x) = xfor xe[0, a], then Prove that f(x) is Rieman integrable over [0, a] and fo f(x)dx = a4 Q4. If f(x)be a bounded function defined on [a, b], then f(x) is Rieman integrable over [a, b] iff for given > 0 There exists a Partesian P over [a, b]. Such that U(P,f)-L(P,f) > Q5. Let f R[a, b] and m, n be bounds off on [a, b] Then m(b a) f f (x)dx M(b a) if b a