SOLUTION: Find the anti derivative of (2x+1)³. Calculus question

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Question 1033277: Find the anti derivative of (2x+1)³. Calculus question
Answer by addingup(3677) About Me  (Show Source):
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(2x+1)³
Take the indefinite integral (another name for antiderivative):
integral (2x+1)^3 dx
For the integrand (2x+1)^3, substitute u = 2x+1 and du = 2dx:
= 1/2 integral u^3du
The integral of u^3 is u^4/4:
= u^4/8+constant
Substitute back for u = 2x+1 and your answer is:
1/8(2x+1)^4+constant