Search over 10,000 free study notes

We can set arctan(x) = y. Remember that arctan(x) is the inverse of tan(x), so we can take the tangent of both sides to give: tan(arctan(x)) = x = tan(y). Tan(x) has the standard derivative of sec^2(x) (w...

First of all, we need to express tangent and cotangent in terms of sine and cosine using the identities: tanx = sinx / cosx and cotx = cosx / sinx. Substituting these expressions into the initial equation...

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'...

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 ...