Definite Integrals are so Easy

Calculus Level 3

Evaluate:

$\large\displaystyle\int_{-1}^{1} \frac{dx}{x^2}$

Please Upvote my solution if you wish.

-1

1

0

-\frac{3}{2}

\text{Does Not Converge}

2 solutions

Prakher Gaushal
Sep 27, 2015

Definite Integral means area under the curve!

So why do you know that the area under the curve does not converge?

Brock Brown - 5 years, 8 months ago

Area under the curve 1/x^2 does not converge. You can check by plotting a graph.

Prakher Gaushal - 5 years, 8 months ago

I know it doesn't, I'm just asking you to prove it in your answer. Why does the area increase infinitely? Is there a limit you can write to prove it?

Brock Brown - 5 years, 8 months ago

Guillermo Templado
Oct 26, 2015

If the above integral would converge it would converge in each subinterval,therefore, it would converge in [0,1] but it doesn't do it in this interval

Definite Integrals are so Easy

2 solutions

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