Consider the expression
I=6x2+4e3x−5sinx+7.
Answer the following questions.
(i) Rewrite I by grouping any like or constant terms so that the integrand is expressed as a sum of the simplest possible elementary functions.
(ii) Find ∫Idx.
(iii) Differentiate the result obtained in part (ii) to confirm that it indeed equals the original expression I.