Question: Please use trig substitution for the first part. Consider the integral: int ( 1 6 2 0 ) / ( x ^ ( 3

Please use trig substitution for the first part. Consider the integral:
\int (1620)/(x^(3)(x^(2)+81))dx
a.[8 pts] Evaluate the integral using the trigonometric substitution x=9tan\theta .
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.
Please use trig substitution for the first part.

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