Table lookup integrals Use a table of

Chapter 7, Problem 16E

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QUESTION:

Table lookup integrals Use a table of integrals to evaluate the following indefinite integrals.

\(\int \sqrt{4 x^{2}-9} d x\)

Questions & Answers

QUESTION:

Table lookup integrals Use a table of integrals to evaluate the following indefinite integrals.

\(\int \sqrt{4 x^{2}-9} d x\)

ANSWER:

Step 1 of 4

                         The given integral  is ; dx…………..(1)

               The given integrand can be written as ;  =

                            For our convenience  take  substitution method  ;

               

                         If  2x = 3 sec(p) , then (2x) = (3 secp)

                                                              2 = 3

                  Therefore , dx =  sec(p)tan(p) dp ……………(2)

 

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