Step 1 : Introduction to the question "4. In the field of calculus there is an opposite function to differentiation. What is the name of this function that is used to determine the area under a curve?"
...1. Agglutination 2. Separation 3. Integration 4. Conglomeration One of the things that confuses people when they first start studying calculus is whether to integrate or differentiate in order to find the area under a curve. To integrate you just partake in the opposite process to differentiation. So if the equation of a curve was 'y = x^3 + 2x^2', then to integrate you would raise the power of each 'x' term by one and divide by the value of the new power. Thus, raising the power of 'x^3' by one would result in 'x^4' and to complete the integration of this term you divide it by four, '(x^4)/4'. Complete the same process for '2x^2' and you will get '(2x^3)/3'. Whenever you integrate you must add in a constant, known simply as the constant of integration, which is usually given the letter 'C' in the UK. So, the area under the curve 'y = x^3 + 2x^2' could be found by adding values of 'x' into the fresh integration, '[(x^4)/4] + [(2x^3)/3] + C'.
Step 2 : Answer to the question "4. In the field of calculus there is an opposite function to differentiation. What is the name of this function that is used to determine the area under a curve?"
Integration:
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