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Using the completing the square method:
1. Notice (x+4)2 = x2 + 8x +16 which differs from the question by a constant
Each term is integrated according to the formula:
axb --> (a/(b+1))x(b+1)
A constant k integrates to kx
Since this is indefinite inte...
Each term is differentiated according to the formula:
y = axb --> dy/dx = b*ax(b-1)
Constants differentiate to zero.
Therefore in this...
Remember that the gradient of a curve is expressed as dy/dx. This can be solved by using the chain rule:
dy/dx = dy/dt*dt/dx. The dt in the denominator of the first term, and the numerato...
Rearranging the terms of the series into the usual "descending order" for polynomials, we get a series expansion of:
axn-1 +........ax + a
A basic pro...
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