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Here it is integrate sqrt(4+x^2) this question can be solved by letting x= 2 tan u when we finish integrating this, the function will be left in term of sec u and tan u, so we need to swap them back to x. My question is, when we let x=2tan u, do we have to put restriction on u such that tan u...

I got stuck at question 18 page 337 from cambridge book "Show that the common chord of any two circles having focal chords of x^2=4ay as diameters passes through the vertex of the parabola. (You may assume that tangents at the extremities of a focal chord are perpendicular)"...