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If I gave you an infinitely tall ladder and asked you to prove to me that there are no rungs missing from the ladder, you wouldn't start to check the ladder rung by rung to see if they are all there, you'...

One good way is to use the formula y - y₁ = m(x - x₁)where (x₁,y₁) is a point on the line and m is the gradient of the line. This is derived from the definitio...

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...