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C3/4 Some hardcore differentiation/integration questions?

Does anyone know where can I find some hardcore exercises(apart from STEP's :colone:) to be ready for anything they throw at you?
(edited 11 years ago)
Reply 1
try ex dx\int e^{-x}\ dx
Reply 2
Original post by james22
try ex dx\int e^{-x}\ dx


:confused:
-e^-x+A

There are some quite complicated integrals on past papers, but not much, I just want to get a bit more practice.
This one is your archetypal hardcore integral that I've seen all over the place:
Tanxdx\displaystyle \int \sqrt{Tanx}dx
Reply 4
Original post by Dog4444
:confused:
-e^-x+A

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 sin(x)ex dx \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.
(edited 11 years ago)
In(secx) c
Original post by Tee_Jeffy
In(secx) c

you want to integrate this as a hardcore integral?

or is it your attempt at integrating sqrt(tanx) ?

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