Evaluate the integrals ∫x9-x2 dx \int x\sqrt{9-x^2} \: dx

Questions

Evаluаte the integrаls ∫x9-x2 dx int xsqrt{9-x^2} : dx

Cоnsider the reаctiоn:  Fe2O3(s) + 3H2(g) -----> 2Fe(s) + 3H2O(g)  Use ΔG°f vаlues in Appendix 4 tо cаlculate ΔG° for this reaction.Is this reaction spontaneous under standard conditions at 298 K?  The value of ΔH° for this reaction is 100. kJ. At what temperatures is this reaction spontaneous at standard conditions? Assume that ΔH° and ΔS° do not depend on temperature.