Question: 1. Consider the integral: 5000 dx x3(x2 + 25) a. [8 pts] Evaluate the integral using the trigonometric substitution x = 5 tan 0. b.

1. Consider the integral: 5000 dx x3(x2 + 25) a. [8 pts] Evaluate the integral using the trigonometric substitution x = 5 tan 0. b. [8 pts] Evaluate the integral by using partial fraction decomposition. (Section 7.4) c. [4 pts] Show that your previous two answers are equivalent using algebra

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