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2. Find the exact area under one -half of an arch of the sine curve: ( 2 sin(x) dx. Show work. 3. 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. - dx ; F(x) = In(x) +4 2 X 4. Find an antiderivative of the integrand and use Part 2 of the Fundamental Theorem to evaluate the definite integral. Show work. Vidx 5. Use Leibniz's Rule to solve the following: Vt + 1dt dx