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y= -4x-1y² = (-4x-1)² = 16x² +8x +1y² +5x² +2x = 0lets substitute what we found y² equal to earlier, which gives us(16x^2...

In a political era where the status quo can be transformed in an instant, ten years is a long time in politics. Despite this, I posit that Brexit will be considered to have been a broadly negative move fo...

To solve this we must use integration by parts: int(udv) = uv - int(vdu) (1) Hence let u = ln(x), dv = dx => du=(1/x)dx, v=x, and now using (1) and substituting values we obtain int(ln(x)dx) = ln(x)x -...