Question: Consider the integral (a) Find the integral by completing the square of the radicand. (b) Find the integral by making the substitution u = x.

Consider the integral

1 6x 12 dx.

(a) Find the integral by completing the square of the radicand.

(b) Find the integral by making the substitution u = √x.

(c) The antiderivatives in parts (a) and (b) appear to be
significantly different. Use a graphing utility to graph each
antiderivative in the same viewing window and determine
the relationship between them. Find the domain of each.

1 6x 12 dx.

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