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Consider the following function. x3 dx 25 – x4 (a) Determine an appropriate trigonometric substitution. Use x = 5 sin(O), where - 2 TT <o< 2 since the integrand contains the expression v 52 – x2 - TT Use x = 5 tan(0), where TT << 2 since the integrand contains the expression V 52 – x2. 2 N Зл Use x = 5 sec(e), where 0 so< or a so< 2 2 since the integrand contains the expression v 52 – x2. (b) Apply the substitution to transform the integral into a trigonometric integral. Do not evaluate the integral. dx = x? ) de

Show transcribed image text Consider the following function. x3 dx 25 – x4 (a) Determine an appropriate trigonometric substitution. Use x = 5 sin(O), where - 2 TT

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