integrate 1/((1-x^2)^0.5) between 0 and 1


I would require to demonstrate most of this working and explaining on a white, as a keyboard can not allow a lot of the mathematical notation required to solve this, but once I have a white board I can explain this from an axiomatic understanding if required in detail

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integrate (2x)/(x^2+1) dx with limits 1, 0


a) Express 4(cosec^2(2x)) - (cosec^2(x)) in terms of sin(x) and cos (x) and hence b) show that 4(cosec^2(2x)) - (cosec^2(x)) = sec^2(x)


Find the stable points of the following function, determine wether or not they are maxima or minima. y= 5x^3 +9x^2 +3x +2


A fair die has six faces numbered 1, 1, 1, 2, 2, and 3. The die is rolled twice and the number showing on the uppermost face is recorded. Find the probability that the sum of the two numbers is at least three.