Answer: Double table lookup The following integrals may

Chapter 7, Problem 70E

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QUESTION:

Double table lookup  The following integrals may require more than one table lookup. Evaluate the integrals using a table of integrals, then check your answer with a computer algebra system. When the parameter a appears, assume a>0.

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

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QUESTION:

Double table lookup  The following integrals may require more than one table lookup. Evaluate the integrals using a table of integrals, then check your answer with a computer algebra system. When the parameter a appears, assume a>0.

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

ANSWER:

Problem 70E

Double table lookup The following integrals may require more than one table lookup. Evaluate the integrals using a table of integrals, then check your answer with a computer algebra system. When the parameter a appears, assume a > 0.

               dx.

Answer;

Step 1

                  The given integral is   dx , and a> 0………(1)

 Now , we have to evaluate  the given integral  by using table of integrals.

                    Now ,   the integrand can be written as;

                   =

                                     =  )

                                    = ………….(2)

From(1) , and (2) ; the given integral can be written as ;

             dx  =  dx………..(3)

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