Please explain all steps in detail from YOUR OWN WORK for good feedback.

3. 4. 5. VVhat is the Fundamental Theorem of Calculus? a) Write the theorem in formal language and notation. b) Express the main idea of the theorem in your own words. c) Why was this theorem so historically significant? d) Use the Fundamental Theorem of Calculus to solve the area from exercise 2. Find all the errors below and explain why they are incorrect. a) b) sin x cos x dx sin x dx 3 cos x dx cosx smx Let a, b, k, and n represent constants. Rely on your knowledge of derivatives to solve each integral below in one or two steps. (Be careful with the first one. There's a catch!) a) b) c) xn dx ax dx b dx g) ekXdx