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# STEP Prep Thread 2016 (Mark. II)

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1. (Original post by Geraer100)
Thanks!
6. Yes my mistakes, one integral - the same integral=0, its because in A level, we used to make that equal to 4 as we are finding the area in C2/C3. So it's confusing.
Well yes, there's a difference between the integral of a function and the (unsigned) area bounded by the axes and the function. At A-Level you're asked to find the latter.
2. (Original post by Zacken)
Isn't that x / b?
3. How do I integrate arcsinh(x)

EDIT: it's okay I'm a genius I got it, how are you supposed to do it though?

EDIT^2: Reality kicked in, I'm not a genius, I didn't get it
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4. (Original post by Zacken)
Well yes, there's a difference between the integral of a function and the (unsigned) area bounded by the axes and the function. At A-Level you're asked to find the latter.
Okay, thankks! and before you said even integral for point 6, by even integral do you mean an integral with limits a and -a?
5. (Original post by Geraer100)
I have a few things to check if they are correct to do:
[...]
6. And one silly question, the integral of sinx in the limits pi and -pi, without the modulus sign, is it equal to 0 or 4. In other words, shall we split the integrals into 2 halves with limits 0 and -pi, and pi and 0.
It depends - if you want to evaluate the integral, you get 0. If you're trying to find the area bounded by the curve and the x-axis, then you split it up, take the absolute values (getting 4) and sum.
6. (Original post by MathHysteria)
It depends - if you want to evaluate the integral, you get 0. If you're trying to find the area bounded by the curve and the x-axis, then you split it up, take the absolute values (getting 4) and sum.
Thanks!
7. (Original post by jjsnyder)
How do I integrate arcsinh(x)

EDIT: it's okay I'm a genius I got it, how are you supposed to do it though?

EDIT^2: Reality kicked in, I'm not a genius, I didn't get it
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Maybe by parts?

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8. Hey, since the compiler isn't really working.. anyone happen to have a copy of the hacks and tricks page screenshotted? Thanks. 12 hours left!
9. Anyone else not doing STEP I?
10. (Original post by physicsmaths)
Maybe by parts?

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Eh? arcsinh(x) = arc + sinh(x)?

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11. (Original post by sweeneyrod)
Anyone else not doing STEP I?
There's always Krollo.
12. (Original post by jjsnyder)
Eh? arcsinh(x) = arc + sinh(x)?

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How do you integrate ln x? Same trick.
13. (Original post by Zacken)
How do you integrate ln x? Same trick.
Ohh okay, thanks

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14. (Original post by Geraer100)
Okay, thankks! and before you said even integral for point 6, by even integral do you mean an integral with limits a and -a?
Yep.
15. (Original post by Zacken)
Yep.
Thanks!
16. (Original post by jjsnyder)
Ohh okay, thanks

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(same goes for integrating all the other ar(c)trig(h) functions iirc)
17. (Original post by ox2015)
Hey, since the compiler isn't really working.. anyone happen to have a copy of the hacks and tricks page screenshotted? Thanks. 12 hours left!
I don't think anybody is going to have that, unfortunately. You could try copy-pasting the LaTeX code from the post into another latex compiler and checking it out?

...more effort than it's worth to be honest.
18. (Original post by Zacken)
I don't think anybody is going to have that, unfortunately. You could try copy-pasting the LaTeX code from the post into another latex compiler and checking it out?

...more effort than it's worth to be honest.

alright, thanks anyways
19. One thing, tomorrow, when the exam finishes, is everyone going to comment in this thread or will there be another thread? And can we comment immediately after the exam or we got to wait?
20. (Original post by Geraer100)
One thing, tomorrow, when the exam finishes, is everyone going to comment in this thread or will there be another thread? And can we comment immediately after the exam or we got to wait?
Wait till 9am 15th.

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