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Evaluate the integral: ∫14x²/√(16-x²)dx.
(A) Which integral substitution is correct for this integral?
A. x=16sin (θ)
B. x=4tan (θ)
C. x=16tan (θ)
D. x=4sin (θ)
E. x=16sec (θ)
F. x=4sec (θ)
(B) Which integral do you obtain after substituting for x and simplifying?
(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?

Sagot :

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