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(Solved): Evaluate the integral: \int (\sqrt(36x^(2)-25))/(x^(3))dx (A) Which trig substitution is correct fo ...



Evaluate the integral:

\int (\sqrt(36x^(2)-25))/(x^(3))dx

(A) Which trig substitution is correct for this integral?

x=(25)/(36)sec(\theta ) x=(5)/(6)sin(\theta ) x=(1)/(36)sec(\theta ) x=(6)/(5)sec(\theta ) x=(5)/(6)sec(\theta )

(B) Which integral do you obtain after substituting for

x

? Note: to enter

\theta

, type the word theta.

\int (◻)d\theta

(C) What is the value of the above integral in terms of

\theta

? (D) What is the value of the original integral in terms of

x

? Note: WAMAP does not recognize the inverse secant (arcsec) function. You will need to use another inverse trie function when vou fill in vour answer below.

+C


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