Question

In: Math

Evaluate the integral: ∫√36x^2−49 / x^3 dx (A) Which trig substitution is correct for this integral?...

Evaluate the integral: ∫√36x^2−49 / x^3 dx

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

x=49/36sec(θ)
x=7/6sec(θ)
x=1/36sec(θ)
x=6/7sec(θ)
x=7/6sin(θ)

(B) Which integral do you obtain after substituting for xx?
Note: to enter θθ, type the word theta.

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

(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 trig function when you fill in your answer below.

Expert Solution

Let

B)

C)

D)

milcah answered 2 years ago

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