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- 5. Prove that the equation has no solution in an ordered integral domain.arrow_forwardUse the half-angle formula cos² 0 = 16 V cos² cos2 Ꮎ ᏧᎾ 6 = 1/²/(1+ = 1/6/6/²2 ( ¹ + [ 1 8 ([ 1) + C to evaluate the integral in terms of 0. ) dearrow_forwarda) Determine whether the integral dx 2x 16 is improper or not. Justify your answer. b) Evaluate the integral 6 2x da. (3x – 1)(4r + 5)arrow_forward
- 1) Evaluate the integral J 2) Evaluate the integral sec² t dt (tant - 1)² 8 dx 2 5 x√x² - 16 Hint: Use a suitable u-substitution. You mayarrow_forwardEvaluate the integrals in Exercises 23–32. -2п IT 1 – cos x dx 2 V1 – cos 2x dx 23. 24. VI - sin? i di | VI - cos² 0 do – c 25. 26. -п/6 sin? x V1 + sin x dx 27. dx 28. – cos x 7/3 Vĩ 1 – sin x V1 – sin x Hint: Multiply by -Зп/4 cos“ x Vi - sin 2x dx 29. dx 30. Jszls Vī – sin x T/2 • TT/2 cos? t)3/2 dt ovi – cos 20 do 32. 31.arrow_forwardEvaluate the integral | elan(13-x) sec²(13 · x) dx 52 Write your answer in the form ea – b a = c =arrow_forward
- plz answer asaparrow_forwardSolve the definite integral using usubarrow_forwardEvaluate the integrals in Exercises 9– 18 It may be necessary to use a substitution first. x dx 9. x² - 3x + 2 х dx 10. x² + 4x + 3 x + 1 dx dx 11. 12. x²(x – 1) x(x + 1)² cos 0 do sin? 0 + sin 0 – 6 sin 0 d0 13. 14. cos 20 + cos 0 – 2 3x2 + 4x + 4 dx 4x dx 15. 16. x* + 4x (3υ-7) dν v + 3 -dv 17. 18. ( υ-1)(υ-2) (υ-3) 8v 2v3arrow_forward
- Linear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage LearningElements Of Modern AlgebraAlgebraISBN:9781285463230Author:Gilbert, Linda, JimmiePublisher:Cengage Learning,