Question: Use the technique of Question 113 to integrate Data from Question 113 Find the values of the constants a and b such that and hence

Use the technique of Question 113 to integrate

(a) x + 1 x + 4x + 5

(b) 2x + 3 3 (5 + 4x - x) sin x sin x + cos x


Data from Question 113

Find the values of the constants a and b such that

3x + 2 2 x + 2x + 5 a(2x + 2) 2 x + 2x + 5 + b 2 x + 2x + 5

and hence find its integral. (Note that (d/dx)(x2 + 2x + 5) = 2x + 2.)

(a) x + 1 x + 4x + 5

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