1.) Find the integral of each term. --> [2x +7ln(x)]. --> Uses standard integrals--> e.g. that the integral of 1/x is ln(x).
2.) substitute values into the integral. --> [2(e)+ 7ln(e)]- [2(1)+7ln(1)] --> (2e +7)- (2+7(0)) --> uses knowledge about natural logarithms, e.g. that ln(1)= 0 and ln(e)= 13.) present answer. --> ANSWER= 2e +5. --> Presented in the simplest possible form, in exact terms (as required by the question).