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Please show your work. 11. (1 point) Similar to 5.7.81 in Rogawski/Adams. 12. (1 point) Use the Change-of-Variables Formula to rewrite (( x+7 ) 2

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11. (1 point) Similar to 5.7.81 in Rogawski/Adams. 12. (1 point) Use the Change-of-Variables Formula to rewrite (( x+7 ) 2 dx Similar to 5.7.95 in Rogawski/Adams. Use the Change-of-Variables Formula into terms of u where u = x + 7. to rewrite cost xsinx dx into terms of u where u = cos.x. If ( f(u)du, then If [ flu)du, then a = b =_ f(u) = f(u) =. Now evaluate the integral. Now evaluate the integral. 6 ( x + 7) 2 dx =. TE / 3 cos* xsinx dx =_ Answer(s) submitted: Answer(s) submitted: (incorrect) (incorrect) Generated by OWeBWork, http://webwork.man.org, Mathematical Association of AmericaRex Wu $22M171 Assignment 5.4 due 05/02/2022 at 08:00pm MDT 1. (1 point) 6. (1 point) Similar to 5.4.PQ4 in Rogawski/Adams. Similar to 5.4.19 in Rogawski/Adams. Evaluate / f(x) dx, where f is differentiable and f(2) = -7 Evaluate the integral using FTC I. and f (3) = -11. ( f( x)dx = (Use symbolic notation and fractions where needed.) Answer(s) submitted: Answer(s) submitted: (incorrect) 2. (1 point) (incorrect) Similar to 5.4.10 in Rogawski/Adams. Evaluate the integral using the FTC 1: 7. (1 point) Similar to 5.4.24 in Rogawski/Adams. ( 6x ) + 3x5 ) dx = Evaluate the integral using the Fundamental Theorem of Calcu- Answer(s) submitted: lus. (1 2x4 - 8x4 16 * 2 dx (incorrect) Answer(s) submitted: 3. (1 point) Similar to 5.3.11 in Rogawski Evaluate the integral using the Fundamental Theorem of Calcu- (incorrect) lus. 8. (1 point) ( 5+3- 312) dt = Similar to 5.4.36 in Rogawski/Adams. Answer(s) submitted: Evaluate the integral using the Fundamental Theorem of Cal- culus. (incorrect) e61+2 dt = 4. (1 point) Answer(s) submitted: Similar to 5.3.13 in Rogawski. Evaluate the integral using the Fundamental Theorem of Calcu- (incorrect) lus. Vydy = 9. (1 point) Similar to 5.4.43 in Rogawski/Adams. Answer(s) submitted: Write the integral as a sum of integrals without absolute val- (incorrect) ues and evaluate: Palxax= 5. (1 point) Answer(s) submitted: Similar to 5.3.15 in Rogawski. Evaluate the integral using the Fundamental Theorem of Calcu- (incorrect) lus. 1x4 dx = 10. (1 point) Similar to 5.4.55 in Rogawski/Adams. Answer(s) submitted: Calculate / f(x) dx, where (incorrect) f(x)= 12-12 forx 5 -1 for x > -1

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