Search over 10,000 free study notes

=1/(2^8) = 1/256

Apply the rule for integration for parts: Integral of udv = uv - integral of vdu. Choose u to be the term simplified the most when differentiated; in this case choose u to be x as the differential of x w....

The key here is to recognise that this is in the form f'(x)/f(x). We can use the idea that integration is the inverse of differentiation, and the knowledge that the derivative of ln(f(x)) is equal to f'(...

Generally, the null hypothesis is the one we want to reject, and the alternative is the one we want to prove is true. For example, if we were testing whether growing in the Sun made a plant grow healthie...

Differentiate using the product rule.Product rule: for y=uv , where u and v are functions of x, dy/dx=vdu/dx + udv/dxy=(7x²+2)sinx so u=(7x²+2) and v=sinx . By differentiating these ...