Matematické Fórum

stuart clark · 27. 09. 2018 11:50

The curve $g(x) = \int^{1}_{0}\frac{x^2+t^2}{t}dt$ Represent

(a) Straight line (b) Circle (c) parabola (d) Ellipse

MichalAld · 27. 09. 2018 12:50

It is not about integration, but just about understanding...

$g(x) = \int^{1}_{0}\frac{x^2+t^2}{t}dt=x^2\int^{1}_{0}\frac{1}{t}dt+\int^{1}_{0}\frac{t^2}{t}dt=ax^2+b$

vlado_bb · 27. 09. 2018 13:18

↑ MichalAld: Is $a$ a real number? This would mean that $\int_0^1 \frac 1t dt$ converges ...

MichalAld · 27. 09. 2018 14:35

↑ vlado_bb:
Oh.. and it doesn't ... so I don't have any idea what to do with it...

stuart clark · 01. 10. 2018 03:21

Thanks ↑ MichalAld: and ↑ vlado_bb: answer given as line.

Matematické Fórum

#1 27. 09. 2018 11:50

Curve representing

#2 27. 09. 2018 12:50

Re: Curve representing

#3 27. 09. 2018 13:18

Re: Curve representing

#4 27. 09. 2018 14:35

Re: Curve representing

#5 01. 10. 2018 03:21

Re: Curve representing

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