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Calculate
Calculate . (Hint: simplify using a trigonometric identity, and then use integration by parts.)
Find . (Hint: use a substitution.)
Calculate .
Evaluate . Hint: Use a trigonometric substitution.
Given , find a relationship between and .
Compute for .
Evaluate (Hint: use integration by parts)
Compute . Hint: How about a substitution involving the sine?
Evaluate . (Hint: substitute .)