Even & Odd Functions Integral Shortcut

Here's a very nice integration property and an integration shortcut for your calculus integral. The shortcut relies on the even and odd functions in the integrant. With this shortcut, we can finish both of these integrals in 4 minutes!

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integral properties

[ravitsharma]

2:31 I didn't know that property of integrals. I learned something new today...Cool!! :)

[subhrajitroy]

'The first one's the first one and the second one is the second one'.


Are you kidding 47 likes??. Thanks a lot guys

[isobar]

The first one's the first one and the second one is the second love it!

[Andy-jubb]

I thought I was going to see a major integration battle where we needed green pens, blue pens, purple pens, orange pens, brown pens, and a 15 minute intermission

[jonathangrey]

“First one is the first one and the second one is the second one” 😂

[rhversity]

Can you please prove that even function integral property?

[jv]

That property of int(a to b) f(X) dx= int(a to b) f(a+b-x)dx is also called king (unofficially) and by far is the most useful property of definite integration

Your big fan!

[rajatmeena]

Hey blackpenredpen I am thinking about what is the factorial of iota
So pls make a vedio on this topic

[sergpodolnii]

I have doubts about the second integral. Yes, the first part is even, but your denominator gives different scaling from [-2..0] and [0..2]. It's not a symmetrical function. The answer looks wrong

[EpicMathTime]

the dark fire will not avail you, flame of udun!

[jayapandey]

The odd function problem, I figured out but the second integral was just magic. Btw I solved the second by King's Property.

[daviddelaney]

You went really fast through the presentation. No worries since it is rewatchable and thank you!

[МихаилДубровский-бд]

When will the new T-Shirt be available for purchase?

[SwordQuake]

And which one exactly is that other video?

[tsurugr]

I am no math genius, but i kinda worked out the solution in like 40sec while looking at the thumbnail :o

[RorychattInc]

Where can I find video for proof of second integral property where we ignore the bottom part?

[carlosteveth]

3:28 You could also do trig substitution for the 2nd problem instead of using a graph, and you'll wind up with pi

[mathmathician]

I never see that kind of integral before but I learned something new

[antoniotomas]

I cannot find the video with the demonstration you mention in this video.

[LouisEmery]

2:56 I did not know that. I worked it out to check.