How can I integrate without calculus...

How can I integrate without calculus? I am too stupid to learn calculus but I think the word "integral" sounds cool af and will land me prime pussy. Thus, I want to be able to find the integral because it sounds cool if I say "I'm going to find the integral now". It sounds like Star Trek, you know? So how do I find the integral without calculus please?

Other urls found in this thread:

en.wikipedia.org/wiki/Planimeter
twitter.com/AnonBabble

A thread died for this

Survival of the fittest.

lold

Use Tai's method. It's made by brainlets for brainlets.

This isn't a real question, why did you type this out?
On the slim chance you're serious: you can't, you need to understand derivatives/anti-derivatives to integrate and thus you need calculus.

You draw the curve on graph paper and then count the little boxes underneath the curve.
Hint: the finer the grid, the more accurate the answer will be.

It's a real question. I am legitimately too stupid to understand calculus.

Why do I need to understand it? Isn't the integral just the area under a graph? Why can't I compute this without calculus you dense nerd?

Depends on what you want to integrate

You don't need calculus to integrate polynomials if you establish some basic facts about what integration means. It becomes a bit unmotivated, which is the curse of algebra.

Because computing that IS calculus. Riemann sums are more tedious than algebraically manipulating functions.
I also don't think you're too stupid, you just need to actually study. If that doesn't interest you that's not a matter of intelligence but rather interest.

That's ONE of the definitions of an integral.
There are other types -- such as determining volumes of solids. And integrals are used everywhere in mathematics and engineering.

But if you JUST want the area under a curve , then counting little squares or triangles will suffice.

Or you could buy a planimeter -- and have the job done without any thought whatsoever.
>en.wikipedia.org/wiki/Planimeter
They're only slightly more complicated to use than a circle compass.
Besides, just owning one might impress chicks.

Integration by trapezoidal rule.

Just print out the graph, cut out the area under the curve, weigh it and divide by density of paper.

use analysis then dummy, start with Rudin or Terry Tao

The integral is adding up many infinitely many small things. So that's why it's the area under the graph; you're adding up infinitely many tiny boxes to find the perfect area. In other words, you're integrating many tiny rectangles. The area of a rectangle is base times height, so that's y * dx on a graph.
There's some easy integrals. The integral of 1dx or 1dt is 1x, or 1t, or whatever variable you're using. Constants stay the same, so 5dx becomes 5x. The integral of a variable is one-half the variable squared. It's similar to the formula for a triangle's area. This pattern continues; the integral of x^2dx is x^3 / 3. The integral of e^xdx is still e^x.

Just plug it into Wolfram Alpha.

>So how do I find the integral without calculus

With a calculator, like a normal person.

>How can I integrate without calculus?
Let blacks and whites go to the same school.
You'll get all of the sjw pussoi

You also have to divide that by the width of the paper to get the area.

>Hint: the finer the grid, the more accurate the answer will be.
what if I made the grid infinity fine?

A computer using the monte carlo algorithm.

By hand? Graph the curve, and draw a bunch of rectangles whose base is at the x-axis and whose 'top-left' point is on the curve of the function. Like pic related.

Their collective area is the integral. If the curve is negative and the rectangle faces downward, count it as a 'negative' area.

This is why biologists shouldn't post here.

then you're doing it newton's way

How can I use calculus without using calculus?

>Ayy babe I'm going to find the integral now, but how about some coffee afterwards?

tried it on this curve, didn't work
someone ban this man

>How can I integrate without calculus?
Just memorize the rules and apply them. Bam, you're integrating like a motherfuck.

You can find definite integrals of functions like y=const and y=kx+b.

>Integrate without calculus
Can you cut bread without a knife?

>what is a saw

Not op but am I dumb if calculus doesn't interest me at all? Just algebra?

No.

Learn about the Trapezoid Method or Simpson's method if you just want the area under a curve. Essentially you divide a graph up into equal pieces and approximate the area under each piece. Trapezoid is simpler than Simpson's to understand but Simpson's is more accurate.

Because the math nexassary to do these computations most efficiently falls into the domain of calculus. Just use a computer if you can't be bothered to learn.

You better hope no one is around to ask you why you can never give the exact answers to problems.

no but you do have shit taste

>"I'm going to find the integral now"

What kind of algebra? Like shitty highschool algebra or abstract algebra?