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First thing to observe here, is that this equation is somewhat different to what you would find normally. This is a complex equation. How can you tell? The third term, ie 32i(sqrt(3)) contains the symbol for...

Integrated: [x^3+2ln(x)] Sub in 3 and K: [3^3+2ln(3)-k^3-2ln(k)]Simplify: 27-K+2ln(3/K)—> K cannot = 0 otherwise ln(3/k) would have an undefined value, as would ln(k)

To get an example of what this question is asking: the expansion of (1+x)^2 can be found by distributing and gives 1+2x+x^2. The coefficient of the x^2 term here would be 1, and for the x^1 term it would be ...

We start with parametric equations of x=2t+3 and y=3t^2+3t+2. To find dy/dx, we need to work out either (dy/dt)/(dx/dt) or (dy/dt)*(dt/dx). This makes the dt's cancel each other out, allowing us to find dy/d...

To start, we understand that partial fractions are used so that we can more easily integrate a function. When you add two fractions together, you consider both denominators and find the LCM ; partial fractio...