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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Differentiate: y = sin(2x).


Find the roots of the following quadratic equation: x^2 +2x -15 =0


Solve the differential equation dy/dx=(y^(1/2))*sin(x/2) to find y in terms of x.


By first expanding the brackets, differentiate the equation: y=(4x^4 + 3x)(2x^2 - 9)