Question: Consider the following function. x3 64 x2 dx (a) Determine an appropriate trigonometric substitution. Use x = 8 sin(), where 2 2 , since the

Consider the following function. x3 64 x2 dx (a) Determine an appropriate trigonometric substitution. Use x = 8 sin(), where 2 2 , since the integrand contains the expression 82 x2 . Use x = 8 tan(), where 2 < < 2 , since the integrand contains the expression 82 x2 . Use x = 8 sec(), where 0 < 2 or < 3 2 , since the integrand contains the expression 82 x2 . (b) Apply the substitution to transform the integral into a trigonometric integral. Do not evaluate the integral. x3 64 x2 dx = d

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