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First what we need to do is we need to think of what the question is asking us to find. In this case it is dy/dx but what is this. This is the rate of change of y with respect to x.  For understanding pur...

We work from right to left (x + a)² = x² + 2ax + a² 2a = 8 [coefficients of x must match] a = 4 (x + 4)² = x² + 8x + 16 [substitute in a = 4] x^2...

A definite integral is an indefinite integral with set limits. If we consider integration as a way of calculating the area under a curve, a definite integral calculates the area under the curve between tw...