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Can I please get help with these! 10. Using the indicated techniques to evaluate the following...
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11. Use a Table of Integrals and an appropriate substitution to find: 34 +9e? +7e" dr Vez -36 Math&152 - Calculus II Name: -100% +50x² - 66x +36 -dx 5. Integrate: 25x² +16 Hint: Notice that the Degree(Numerator) > Degree(Denominator). So we will do the long division 14 and then do partial fraction decomposition on the remainder if necessary. x2 +11 4. Evaluate S dx by the partial fraction decomposition (x-3)(x2+4)
Which method can be used to evaluate the integral? (Remember to use absolute values where appropriate. Use for the constant of integration.) * dx integration by parts splitting the fraction trigonometric substitution long division partial fractions
Evaluate the following integral using Integration by Parts or Trigonometric Substitution dc Show all your work: i.e. If you use Integration by Parts, clearly define u,du, v, dv or if you use Trig Sub clearly define what substitution you use for I as well as dr and other corresponding parts of your substitution
Evaluate the following integral using Integration by Parts or Trigonometric Substitution dc Show all your work: i.e. If you use Integration by Parts, clearly define u,du, v, dv or if you use Trig Sub clearly define what substitution you use for I as well as dr and other corresponding parts of your substitution
2. (20 points) Evaluate the following integral using Integration by Parts or Trigonometric Substitution dr Show all your work: i.e. If you use Integration by Parts, clearly define u,du, v, dv or if you use Trig Sub clearly define what substitution you use for r as well as dr and other corresponding parts of your substitution
Evaluate the following indefinite or definite integrals using substitution. SHOW EACH STEP on the answer sheets. 16. Sa com a dx u=__ du= 17. 62 e 2 dx u=- du=
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1.) (20 points) Find the partial fraction decomposition 2.)(20 points) Integrate 3.) (20 points) Use integration by parts to de converges whether the improper integral diverges or fix (31-4-2エー3)aardz 4) Integrate using trigonanetric subatit ut ion a.)(20 points)d b(20 points) (Hint: complete the square)
1.) (20 points) Find the partial fraction decomposition 2.)(20 points) Integrate 3.) (20 points) Use integration by parts to de...
Tutorial Exercise Evaluate the integral using the substitution rule. sin(x) 1/3 1* dx cos(x) Step 1 of 4 To integrate using substitution, choose u to be some function in the integrand whose derivative (or some constant multiple of whose derivative) is a factor of the integrand. Rewriting a quotient as a product can help to identify u and its derivative. 70/3 1." sin(x) dx = L" (cos(x) since) dx cos?(X) Notice that do (cos(x)) = and this derivative is a...
Evaluate the following integrals (from A to E) A. Integration by parts i) ſ (3+ ++2) sin(2t) dt ii) Z dz un (ricos x?cos 4x dx wja iv) (2 + 5x)eš dr. B. Involving Trigonometric functions 271 п i) | sin? ({x)cos*(xx) dx ii) Sco -> (=w) sins (įw) iii) sec iv) ſ tan” (63)sec^® (6x) dx . sec" (3y)tan?(3y)dy C. Involving Partial fractions 4 z? + 2z + 3 1) $77 dx 10 S2-6922+4) dz x2 + 5x -...
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EXAMPLE 5 Evaluate 7x2 - 6x + 16 x3 + 4x dx. Since x3 + 4x = x(x2 + 4) can't be factored further, we SOLUTION write А. Bx + C 7x² - 6x + 16 x(x2 + 4) + Multiplying by x(x2 + 4), we have 7x2 - 6x + 16 = A(x2 + 4) + + Cx + 4A. Equating coefficients, we obtain A + B = 7 C =...