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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y' = (2x)/(y+1). Solve for y.


2^-8 = ?


Evaluate the following : ∫ln(x) dx


Integration by parts: Integrate the expression x.ln(x) between 1 and 2.