# a3 - Jonathan Kim Assignment A3 MATH141 Winter 2008 You may...

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Jonathan Kim Assignment A3 MATH141, Winter 2008 You may attempt each problem a maximum of 5 times. Please remember that, while WeBWorK can usually check only the correctness of your answers, your responsibility in this course is to be able to justify your answers to problems of all these types, and others. The assignment is due Sunday, February 17, 2008, at 11:30 PM. 1. (1 pt) Evaluate the indefinite integral x 8 dx 49 x 2 11 2 +C HINT: use a trigonometric substitution, then use sin x cos x tan x and 1 cos x sec x . Correct Answers: ( (1/(49*9)) * (xˆ2/(49 - xˆ2))**(9/2) ) + Q 2. (1 pt) Use integration by parts to evaluate the integral. 5 x sin xdx +C Correct Answers: ( 5 * (-x * cos(x) + sin(x)) ) + Q 3. (1 pt) Use integration by parts to evaluate the integral. 4 x ln 6 x dx +C Correct Answers: ( 4 * 1/2 * (xˆ2 * ln(6 * x) - 1/2 * xˆ2) ) + Q 4. (1 pt) Use integration by parts to evaluate the integral. ln 5 x 2 dx +C Correct Answers: ( x*(ln(5*x))ˆ2 - 2*x*ln(5 *x) + 2*x ) + Q 5. (1 pt) Evaluate the indefinite integral.

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