# Need math help with: Let F(x) = ∫√(t^2 +t)

**Question description**

Let F(x) = ∫√(t^2 +t) dt from 1 to 2x. a) Find F'(x). 2√(4x^2+2x)b) Find domain of F.c) Find limit as x goes to 1/2 of F(x). d) Find the length of the curve y = F(x) for 1 ≤ x < 2

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