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(a) Evaluate the integral \"\" using trigonometric substitution method :

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\"\"

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\"\"

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\"\"

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\"\"

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\"\"

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\"\"

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\"\"

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Apply Pythagorean identity: \"\".

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\"\"

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\"\"

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\"\".

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\"\"

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Find the value of \"\", \"\" in terms of \"\".

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\"\"

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\"\".

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\"\".

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\"\".

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\"\"

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\"\"

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\"\".

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(b) Evaluate the integral \"\" using hyperbolic substitution method:

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\"\".

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\"\"

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\"\"

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\"\"

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\"\"

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\"\"

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\"\"

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\"\"

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\"\"

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\"\"

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\"\".

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\"\".

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Find \"\" in terms of \"\".

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\"\"

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\"\"

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\"\"

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\"\"

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\"\".

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(a) \"\".

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(b)\"\".