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There are several approaches to integrating this function, thus making this a valuable exercise for students needing to develop fluency with the various techniques of integration and practise dealing with...

This problem can be solved using integration by parts (IBP), although using IBP multiple times:BASIC IBP METHOD: given an expression integral(u dv) where ...

To compute the derivative of arcsin(x) we use the fact that it is the inverse of sine. Write y=arcsin(x). We want dy/dx. Taking sin on both sides yields sin(y)=x. Use implicit differentiation to different...

The equation for a line is y(x)=ax+b.Because it intersects the y axis at x=0 at y=1y(x)=b=1a is equal to the gradient of the function so the line is given as y(x)=3x+1In order to get the two intersection...

The first thing observe is that we are being asked to use a specific approach in order to solve for both x and y, hence we should not approach ...