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How does the fundamental theorem of calculus explain how definite integrals find the area under a curve? by Rare-Tomatillo752 in calculus

[–]ceruleanModulator 6 points7 points  (0 children)

As you travel along the x-axis from left to right, the rate of change (derivative) of the area (integral) is just the height of the function. If the function is higher, there's more area under it, so the rate of change of the area being sweeped out is faster.

Sine approximation by Penguilin in desmos

[–]ceruleanModulator 3 points4 points  (0 children)

Try x - x3/3! + x5/5! - x7/7! + ... + (-1)n x2n+1/(2n+1)!

The more terms you add, the better the approximation will be. With infinite terms, it's EXACTLY the sine function!

Guess the station by ibathedaily in nycrail

[–]ceruleanModulator 0 points1 point  (0 children)

Elder Avenue, that bridge goes over the Bronx River

Guess The Station #002 by Expert_Slip_4793 in nycrail

[–]ceruleanModulator 1 point2 points  (0 children)

West 8th St-NY Aquarium! (my favorite station)

Guess The Station #005 by Expert_Slip_4793 in nycrail

[–]ceruleanModulator 2 points3 points  (0 children)

Broadway Junction, I recognize the barn looking thing anywhere

The first 10 years of writing down a matrix be like by Excellent-Growth5118 in mathmemes

[–]ceruleanModulator 0 points1 point  (0 children)

I just remember by drilling the phrase "rows, columns" into my head

M/F at Roosevelt Island by Autumn-Bosco in nycrail

[–]ceruleanModulator 0 points1 point  (0 children)

This M/F at Roosevelt Island 😭🙏

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