(Calculus + Geometry) Length of a parabola

Calculus Level 4

Find the length of the parabola y = x 2 y = x^2 from x = 0 to x = 10. Give your answer up to 3 decimal places


The answer is 101.047.

Guillermo Templado by Guillermo Templado , 46, Spain

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

Sorry, it's not a very good picture. I hope you understand my solution. Anyway, you can ask me

1 Helpful 0 Interesting 0 Brilliant 0 Confused

You can just apply ∫ 0 1 1 + ( y ′ ) 2 d x \int_0^1 \sqrt{1+(y')^2} \, dx . See Arc Length .

Pi Han Goh - 5 years, 7 months ago

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...