1-14 I need answered

1. Does f(x)=x^.I have an antiderivative for x

1 Does have an for 8 <0'? If so, dcqctibe one 2 Find an antiderm alive Of the function IS the difference, if any. bcteen finding the pencrnl d"tidenvotne of a function (x) and aluatvng i Jacques happens to know that f(x) and y(s) hase the sanye densanve. and he m.)utd like to know If Does Jacques have sufficient information to answer Ins question? 5 Write any anttdenvanves of cos(x) Winch initial conditions do they satisfy at (omit) Evaluate the following Integrals Be sure to omit exercises 10. II, and 12 8. (Ilint : Use u substitution 9. + 1) dr Hint: Use u substitution 10. f ( sin & 4 dr Hint : Use u substitution 11. dx Hint : Use u substitution 12. J scc2 9 Hint : Use u substitution 13. 5 14. Find an antiderivative F for o have the additional property that F 1 = 8x3 -F 3x2 3