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C3/4 Some hardcore differentiation/integration questions?

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    Does anyone know where can I find some hardcore exercises(apart from STEP's ) to be ready for anything they throw at you?
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    try \int e^{-x}\ dx
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    (Original post by james22)
    try \int e^{-x}\ dx

    There are some quite complicated integrals on past papers, but not much, I just want to get a bit more practice.
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    This one is your archetypal hardcore integral that I've seen all over the place:
    \displaystyle \int \sqrt{Tanx}dx
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    (Original post by Dog4444)

    There are some quite complicated integrals on past papers, but not much, I just want to get a bit more practice.
    Sorry, meant to be  \int sin(x)e^{-x}\ dx (don't know why I didn't put the sin(x) in).

    Can't remember if this is core 4 though it certainly only uses stuff you will know.


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