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(a) Use the trigonometric substitutionx=5tan to calculate the indefinite integral ( x 2 + 2 5 ) 3 / 2 1 d x . Show

(a)Use the trigonometric substitutionx=5tan to calculate the indefinite integral (x2+25)3/21dx. Show your work.

(b) Calculate the improper integral(x2+25)3/21dx, or show that it diverges . Show your work.

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