We will evaluate the following improper integral: I dx First we will do the indefinite integral I S dx (22+6)2 22 (a) Use the substitution u = + 6 to formulate as an integral with respect to u, filling in the integrand below (remember to use proper Mobius syntax in your function) (b) Now integrate to get a function of u: (c) Substitute the value of u interms of a to get an antiderivative in terms of 2, we will call this F(x): F(x)= (d) Now to do the improper integral we require a limf. so for this we need a I (2+6)2 du da [F (2)] = (the answer here is a function of a) (e) Finally to evaluate the answer take the limit as a o. Enter the exact answer (e.g. as a fraction if necessary, not a decimal).