Question: Let I = dx/x 2 4x + 8. (a) Complete the square to show that x 2 4x + 8 = (x
Let I = ∫dx/√x2 − 4x + 8.
(a) Complete the square to show that x2 − 4x + 8 = (x − 2)2 + 4.
(b) Use the substitution u = x − 2 to show that I =du/√u2 + 22. Evaluate the u-integral.
(c) Show that I = ln Ι√(x − 2)2 + 4 + x − 2Ι + C.
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a Completing the square we get b Let u x 2 Then du d... View full answer
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