Using big derivatives to integrate functions - Viewer Submission

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[@RajSandhu-gm8iz]

Hi, all your answers were correct.If anyone is interested the question was taken from a UK maths entrance exam for The University of Cambridge. The papers are called STEP papers, STEP 1, STEP 2 and STEP 3, each paper getting a bit harder i.e STEP 3 is the most challenging. This was Q2 from STEP 1 2016. The format of the exam is you are given 3 hours per paper to solve about 5-6 questions from each paper. I did actually mange to solve this one, but took me about 45 minutes. After the differentation the simplification you did is really important so you can easily spot the values of the constants needed. Thanks for doing, thought people would find it interesting finding integrals from a differentiated function, not seen that before.

[@amritlohia8240]

It's just a standard application of the fundamental theorem of calculus - had you really never seen this before?

[@RajSandhu-gm8iz]

@@amritlohia8240 Obviously aware of the link between integration and differentation, but not seen that link set out with a question in this format, matching coefficients of what seems like a random differentiated function, to enable various other functions to be integrated, thought it was nice.