Find 4x(x 2 1) dx using two methods (a) Do the multiplication first, and then anti differentiate (b) Use the substitution w x 2 1 (c) Explain how the expressions from parts (a) and (b) are different Are they both correct

Question: Find 4x(x 2 + 1) dx using two methods: (a) Do the multiplication first, and then anti differentiate. (b) Use the substitution w =

Find ∫ 4x(x² + 1) dx using two methods:
(a) Do the multiplication first, and then anti differentiate.
(b) Use the substitution w = x² + 1.
(c) Explain how the expressions from parts (a) and (b) are different. Are they both correct?

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