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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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