(adsbygoogle = window.adsbygoogle || []).push({}); Why are they called "differentiate" & "integrate"?

I was wondering why. When we differentiate, don't we result in an equation that describes the slopes of many other equations ( + C ) ? So, we'd be "integrating" many equations, different from each other by C, into a single description.

Inversely, when we integrate something, we get many solutions ( + C ). Aren't we producing many from one? In other words, "differentiating"?

Just curious. I'm too lazy to google the original reasonings for these terminologies :P

edit: oops, this should be in General or Calculus forums. Sorry for that.

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# Why are they called differentiate & integrate ?

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