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Where the graph intersects the x-axis, x²+2kx+5 must be equal to zero. Thus we can answer the equivalent question: For what k does x²+2kx+5 = 0 not have a solution?This is now a simp...

When you see a complicated product, split it into the form u.v', where u and v' are algebraic expressions such as x^2. You can then use the formula: uv'=uv-integral(vu') which you would take between an...

The equation is 2πr.  That is 2 x pi x the radius (not the diameter!)