In this question, you will solve a definite integral using the method of substitution. 3 (4z-5)...
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In this question, you will solve a definite integral using the method of substitution. 3 (4z-5) (22²-5x+1)³ dz (a) Make the substitution u-222-5z+1, and write the integrand as a function of u. (4z-5) (22² - 5z+1)³ dz= [[ (b) Hence solve the integral as a function of u. You do not need a constant of integration for definite integrals. (c) What is the value of u when z = 0? Number (d)... and what is the value of part (b) when z = 0? Number (e) What is the value of u when * = 2? Number (f) ... and what is the value of part (b) when z = 2? Number (g) Hence give the exact value of the definite integral: 0 In this question, you will solve a definite integral using the method of substitution. 3 (4z-5) (22²-5x+1)³ dz (a) Make the substitution u-222-5z+1, and write the integrand as a function of u. (4z-5) (22² - 5z+1)³ dz= [[ (b) Hence solve the integral as a function of u. You do not need a constant of integration for definite integrals. (c) What is the value of u when z = 0? Number (d)... and what is the value of part (b) when z = 0? Number (e) What is the value of u when * = 2? Number (f) ... and what is the value of part (b) when z = 2? Number (g) Hence give the exact value of the definite integral: 0
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