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Question

Evaluate : 2x+22x2+4x3dx

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Solution

let 2x2+4x3=t
differentiating both the sides with respect to x
(4x+4)dx=dt
2(2x+2)dx=dt
(2x+2)dx=dt/2
Upon substitution,
dt2t=12lnt=12ln(2x2+4x3)


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