Use the Second Fundamental Theorem of Calculus to find F'(x). • L₁ VE 4 + 4 dt Vt Step 1 F(x) = Note that F(x) = Step 2 - Love [M Use the Second Fundamental Theorem of Calculus, which states that, if f is continuous on an open interval I containing a, then for every x in the interval, d X dx Therefore, In this problem, F(x) = F'(x) t4+ 4 dt. So assume f(t) f(t) dt = f(x). = f(x) X L √t4 + 4 dt. 6 d - + [[^r(1) d²] = dx -6 = +4 4 that is continuous on the entire real line.

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