Author Topic: Need some help with a quick integration question (Read 841 times) Tweet Share

preliminary17hsc18 · « **on:** January 31, 2018, 01:35:08 pm »

Hi all,
It's been a while since I've done integration, so my skills are a bit rusty. I just need some help with a question but if I could get an explanation about how to generally solve these sort of questions (definite integrals) that'd be great!

∫1,-1 (6y+5) dy

bobcheng1111 · « **Reply #1 on:** January 31, 2018, 02:01:11 pm »

Hi, I don't have time to go through a general explanation atm, but here's the solution to your question :-)

RuiAce · « **Reply #2 on:** January 31, 2018, 02:05:47 pm »

To fill in the explanation in that case,
$\textbf{You will be expected to know the antiderivative rule }\int x^n\,dx = \frac{x^{n+1}}{n+1}$
(plus a constant if necessary.)
$\text{So long as you don't see any exponentials or other weird things hanging around,}\\ \text{that rule you must know.}\\ \text{You're also expected to know why it works, and that is because}\\ \text{it is a consequence of }\frac{d}{dx}x^n = nx^{n-1}.$
$\text{And lastly, it's just the basic matter of}\\ \text{Indefinite integral - remember }+C\\ \text{Definite integral - sub in the boundaries}$

RuiAce · « **Reply #3 on:** January 31, 2018, 02:11:28 pm »

Quote from: Opengangs on January 31, 2018, 02:10:32 pm

Of course, that'd only work for $6y$ part, not the extra $+5$ floating on the end

Opengangs · « **Reply #4 on:** January 31, 2018, 02:11:50 pm »

Quote from: RuiAce on January 31, 2018, 02:11:28 pm

Of course, that'd only work for $6y$ part, not the extra $+5$ floating on the end

Yeah, I realised that afterwards. My bad

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Author Topic: Need some help with a quick integration question (Read 841 times) Tweet Share

preliminary17hsc18

Need some help with a quick integration question

bobcheng1111

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RuiAce

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RuiAce

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Opengangs

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