MATH 1132Q Worksheet 1 - Math 1132 Worksheet 1 Due 1st discussion section in the week of Jan 27th Integration by Substitution(Review Part 1 Compute the

MATH 1132Q Worksheet 1 - Math 1132 Worksheet 1 Due 1st...

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Math 1132 Worksheet 1 Due : 1st discussion section in the week of Jan. 27th Integration by Substitution (Review) Part 1: Compute the indefinite integral in three steps: (1) specify the substitutionu=?anddu=?, (2) rewrite the integralcompletelyin terms of the new variableu, (3) computethe new integral and express the final answer in terms of the original variable.Example. EvaluateZxx2+ 1dx.Solution.
3. Evaluate Z 1 + x 1 - x dx . 4. Evaluate Z 1 x ln x dx . 5. Evaluate Z sin 3 x dx . (Hint: sin 2 x = 1 - cos 2 x .)
Part 2: Express the definite integral inxas a new definite integral in the new variable