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(Solved): Evaluate the integral: \int (\sqrt(16x^(2)-25))/(x^(3))dx (A) Which trig substitution is correct fo ...



Evaluate the integral:

\int (\sqrt(16x^(2)-25))/(x^(3))dx

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

x=(4)/(5)sec(\theta ) x=(25)/(16)sec(\theta ) x=(5)/(4)sec(\theta ) x=(1)/(16)sec(\theta ) x=(5)/(4)sin(\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

? [C)



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