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Integrate by parts once to obtain: xe^x - e^x + c

First we notice that y can be written as the product of two functions of x, u = x and v = (3x + 5)^3. This means we can use the product rule to differentiate which is dy/dx = uv' + vu'. We can plug our fu...

dy/dx = 2x -2 -12x^(-1/2)

Le Chatelier's principle states that the position of equilibrium will shift to oppose the change of conditions to a system. For example, if the temperature is increased the position of equilibrium will sh...

A good way to approach poetry analysis is asking yourself "what effect is the poet trying to create?" and "how does the poet do this?" Remembering 'PETAL' which stands for point, evide...