Complete the indefinite integral of 3x^2 + 4x -2/(x^2)

for each of the terms in x, the power to which x is raised increases by 1, and then each term is divided by the new power. A constant of integration is introduced because we were not asked to integrate between 2 particular limits.=x^3 + 2x^2 + 2/x + c

EC

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Sine Rule


A curve has an equation of y = 20x - x^2 - 2x^3, with one stationary point at P=-2. Find the other stationary point, find the d^2y/dx^2 to determine if point P is a maximum or minium.


Simplify fully: (5 +√7)/ (2+√7)


The curve C has equation y=(2x-3)^5, the point P lies on C and has coordinates (w, – 32), find (a) the value of w and (b) the equation of the tangent to C at the point P in the form y=mx+c , where m and c are constants.