Solve the problems. Show your work for full credit 1. (5 points) State the Fundamental Theorem of Calculus as you see it in the text- book. [Note that oftentimes in the literature, this is called Part II of the Fundamental Theorem of Calculus.] What is one of the theorems used to prove this fundamental theorem? 2. (5 points) State the "Derivative Part" of the Fundamental Theorem of Calculus as seen in the textbook. [Note that oftentimes in the literature, this is called Part I of the Fundamental Theorem of Calculus.] 3. (5 points) State the Integration by Parts Theorem as you see it in the textbook. 4. (5 points) State the Substitution Theorem (for integration) as you see it in the textbook. 5. (10 points) Evaluate the integral (r+1)dr using one of the Theorems stated in the first four problems. 6. (10 points) Evaluate the integral [+1da using one of the Theorems stated in the first four problems. 7. (10 points) Evaluate the integral (2)da by taking the limit of the appro- priate Riemann sum. After doing this, evaluate the integral using the Fundamental Theorem to check your work.