IntegralsSubsRcg

# IntegralsSubsRcg - Z cos x 3sin x + 12 dx + C Correct...

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Mike Truong WeBWorK @ Dept of Mathematics and Statistics @ SDSU WeBWorK problems. WeBWorK assignment 04IntegralsSubsRcg due 02/12/2008 at 09:00am PST. 1. (1 pt) Note: You can get full credit for this problem by just answering the last question correctly. The initial questions are meant as hints towards the ﬁnal answer and also allow you the opportunity to get partial credit. Consider the indeﬁnite integral Z x 6 ( 6 + 11 x 7 ) 9 dx Then the most appropriate substitution to simplify this integral is u = Then dx = f ( x ) du where f ( x ) = After making the substitution we obtain the integral Z g ( u ) du where g ( u ) = This last integral is: = + C (Leave out constant of integration from your answer.) After substituting back for u we obtain the following ﬁnal form of the answer: = + C (Leave out constant of integration from your answer.) Correct Answers: 6+11*xˆ(6+1) 1/(11*(6+1)*xˆ6) uˆ9/(11*(6+1)) uˆ(9+1)/(11*(6+1)*(9+1)) (6+11*xˆ(6+1))ˆ(9+1)/(11*(6+1)*(9+1)) 2. (1 pt) Evaluate the indeﬁnite integral. Z ( ln ( x )) 3 x dx + C Correct Answers: (ln(x)ˆ4)/4 3. (1 pt) Evaluate the indeﬁnite integral.
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Unformatted text preview: Z cos x 3sin x + 12 dx + C Correct Answers: • 0.333333333333333 * ln(sin(x) + 4) 4. (1 pt) Evaluate the indeﬁnite integral. Z 2 e 2 x sin ( e 2 x ) dx Correct Answers: •-cos(eˆ(2 * x)) 5. (1 pt) Evaluate the indeﬁnite integral. Z x + 1 x 2 + 2 x + 2 dx Correct Answers: • 1/2 * ln(xˆ2 + 2 * x + 2) 6. (1 pt) Evaluate the indeﬁnite integral. Z 1 x-2 ( 1 x 2-4 x + 4 ) 5 dx [NOTE: Remember to enter all necessary *, (, and ) !! Correct Answers: •-0.125 * (1 * xˆ2 - 4 * x + 4)ˆ(-4) 7. (1 pt) Evaluate the indeﬁnite integral. Z 2sin 5 x cos xdx = Correct Answers: • 2 / 6 * (sin(x))ˆ6 8. (1 pt) Evaluate the deﬁnite integral. Z 1 2 4 1 + 4 x 2 dx Correct Answers: • 1.5707963267949 9. (1 pt) Evaluate the deﬁnite integral. Z e 4 1 dx x √ ln x Correct Answers: • 4 Generated by the WeBWorK system c ± WeBWorK Team, Department of Mathematics, University of Rochester 1...
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## This note was uploaded on 09/25/2010 for the course MATH 150 taught by Professor Shen during the Spring '08 term at San Diego State.

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