Integration

[wispy fulcrum]

Can someone verify if this working is incorrect? Because I got a different answer

[digital sluice]

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[wispy fulcrum]

like the -8x should be in the denominator and the integration is incorrect

My working

[fickle saffron]

Is your answer -(1 - 4x^2)/6 (with a missing +C)?

[wispy fulcrum]

yes

[fickle saffron]

Ok, then here's a question:
Can the derivative of a rational function (which is what you got) be irrational (like the function you're integrating)?

As in, if you just have a function that's a ratio of polynomials and differentiate it, can square roots appear?

[wispy fulcrum]

no

[fickle saffron]

Right. That's a quick way you can notice that your answer is incorrect.

[wispy fulcrum]

do you mean differentiate or integrate?

[fickle saffron]

Well, you can check your result by differentiating it, after all.

[wispy fulcrum]

where is my error?

[wispy fulcrum]

oh fairs

[fickle saffron]

Now, next: how did you go from the second line to the third?

I agree with the constant, but not with the power of u.

[wispy fulcrum]

oh it should be u^-1/2 hehe

[fickle saffron]

Right.

[wispy fulcrum]

my bad

[fickle saffron]

So, try it again from this point.

[wispy fulcrum]

yep got the ans now

[fickle saffron]

Nice!

[wispy fulcrum]

thank youu

+close

[digital sluice]

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[digital sluice]

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:closed: | Help Request Closed

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Oct 19, 2025, 7:59 PM