Project #51108 - Integration

ASSIGNMENT

 

1) Discuss AT LEAST 2 similarities you found in methods of integration and methods of differentiation.

2) Reply to at least one of your classmate's post:

Even though the methods of differentiation are different to those of the integration, there are some similarities among them. We use differentiation to find the derivative of a function and integration is the opposite operation, it is also called anti-differentiation.

  • Similarities:

    1.    we can take out a variable that is multiplying from the operator symbol

    Ex. Let k be a variable

    d/dx (2k) = k d/dx(2)         differentiation

    ʃ (2k) dx = k ʃ 2 dx         integration

    2.    We can distribute over addition and subtraction

    Ex.

    d/dx (t ± m) = [ d/dx (t)] ± [d/dx (m)]            differentiation

    ʃ (t ± m) dx = (ʃ t dx) ± (ʃ m dx)                         integration

     

 

 

 

Subject Mathematics
Due By (Pacific Time) 12/08/2014 06:00 pm
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