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Introduction to Integrals

Problems for "The Indefinite Integral"


The Area as a Sum

Problem : 4dx

4x + c

Problem : x 3 dx

+ c    

Problem : 3x 4 dx

3 + c    

Problem : (3x + 4)dx

3 + 4x + c    

Problem : sin(2x)dx

- cos(2x) + c    

Note here that we need to multiply the initial result for the antiderivative by a correction factor of . To see why this is the case, take the derivative of the result to see how to get back to the original function (remember to use the chain rule!).

Problem : cos(3x + 4)dx

sin(3x + 4) + c    

Again, a correction factor, this time equal to , is needed.