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1. Verify that F(x) is an antiderivative of the integrand f(x) and use Part 2 of the Fundamental Theorem to evaluate the definite integrals. Show work. 2x x-+1 dx ; F(x) = In(x= + 1) +4 Jo 2. Use Leibniz's Rule to solve the following: - dx cos (t)dt 3. Find the area of the shaded region (yellow) in Figure 1. y-4 y = x2 2 Figure 1