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