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So, what does an integral do?

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I assume your integral in the question is not indefinite? @Clarence

Yes, it's a definite integral, and I'm afraid I don't follow what triciaal has done... Sorry..

so do integrals calculate area?

Yes?

yea. by definition they do

so now, integrals calculate area under the curve. In this instance we need the area of a circle.

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and what jhanny elegantly put is the concept I am trying to illustrate

^@BAdhi is correct. This is an application of the previous

So what do I actually have to do to solve this one? Just follow on from what I did previously?

yep, see if it was applied correctly

Okay then, I'll try that thanks

After going through the same process that BAdhi did previously, it seems right to me

I agree. Make sure you show your work with it on your paper :)

I will, thanks! :)