We wish to evaluate the indefinite integral I=∫dx(x2−2x+5)32 (a) Show that after an appropriate trigonometric substituti

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We wish to evaluate the indefinite integral
I=∫dx(x2−2x+5)32
(a) Show that after an appropriate trigonometric substitution, the integral I can be reduced to
B∫cos⁡φdφ
for some constant B. Clear indicate what the correct constant B is. Hint: first complete the square.
(b) Complete the evaluation of the integral I. Your final answer must be expressed in terms of the variable x, and should not involve any trigonometric or inverse trigonometric functions.
Use proper mathematical notation and show all relevant steps in your solution.
I= = dx 3 (x² - 2x + 5) ² 2 J
Bc cos ydy