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Here, we use integration by parts. We must imagine ln(x) as a product of 1 and ln(x). We usually take the function of x to be our dv/dx, however, in the case of ln(x), we take that to be u (it is a specia...

General method
1.     Write the information down in equation form defining unique symbols to represent the unknowns2.     DOF analysis: Count the number of equations and unknowns? a.     If...

This problem uses the binomial expansion formula: (x+y)ⁿ= _k=0Zⁿ _nC_k x^k y^n-k.But lets try to understand where this formula comes...

To make a percentage into a fraction you divide it by 100. This means 12.5% is 12.5/100. However, when giving fractions as an answer it needs to be done in the simplest form. To do this you need to find t...

1. Explain the product rule: d/dx ( f(x) . g(x) ) = f'(x).g(x) = g'(x) . f (x)
   2. Briefly run through trigonometric derivatives.* cos (x) differentiates to: -sin(...