Integral of 1/e^x

Integral of 1/e^x, calculus 1, calculus 2 integral examples.

[wannurathirahbintimohddani]

the fact im an engineering student but i dont know has turned me dumb

[guadairibarren]

This exercise was making me so crazy and it turned out it was easy.. THANKS

[blackpenredpen]

More than 20k views but only 2 comments (as of 1/28/2017 6:06pm Pacific time..)

[someone]

No need to substitute anything. The rule says that if we integrate any function evaluated at a linear expression (ax+b) we integrate it as if it was evaluated at only (x) but then we divide by the derivative of that expression which is a, so when integrating e^(-1x+0) we ignore the negative 1 and write down e^-x but then we divide by -1, so it's like a simple chain rule for integrals but we can't use it with f(x^2) for example because it works with linear inputs only.

[bengee]

Had to watch this twice. Had to verify he wasn't holding a pokeball mic the first time watching.

[brian]

Black pen red pen...

Pen pineapple apple pen

[kristopherbeauchemin]

keep up the good work, thanks for making all these videos:)

[victorienmallebay]

Hi from France :) i like your videos, nice job man . What do you think about integral of 1/(sqrt1+ln(x)) ?

[rachelwalker]

your videos are super fantastic thank you

[imadsaleemabdulqadiralbulu]

is he holding a pokemon ball while teaching?!! Jk ^^ good job my friend.

[jasonavina]

he didn't really explain it he just basically gave the answer

[willychaira]

Yo tipo me habia bugeado cuando me dieron eso xd
Pd: Thank you bro :)

[Lyrica]

How to solve integration from 0 to infinity 2e–x

[indranathmukherjee]

My thirteen year old son remarked it as very easy after solving it.
His name is Indresh Mukherjee.

[GTAGaming]

oh perfect, just what i wanted after a long day of studying and an almost exploded head!

[udaybhattacharjee]

what will be the value if it becomes definite integral with limits -infinity to +infinity

[GYROSCOPEABCD]

Idk man but why my mind says it can be ln e^x

[axolet]

Formula for integrating e^x:

e^cx (where c is a constant) = 1/c (e^cx)

e^-x is the same as e^-1x, where c is -1
therefore,
e^-x = -e^-x

[day.ydreaming]

Makasi oppa atas pencerahannya, gomawo

[JJ_TheGreat]

Hi blackpenredpen, I wanted to private message you, but YouTube appears to just not let me... I am studying for the actuarial exams and I just do not understand probability. I was wondering whether you could start making some videos about some of these concepts. There are just so many of the concepts and my problem is trying to translate what the exam problems are asking for. For example, take the following problem:

An insurance company will cover losses incurred from tornadoes in a single calendar year. However, the insurer will only cover losses for a maximum of three separate tornadoes during this timeframe. Let X be the number of tornadoes that result in at least 50 million in losses, and let Y be the total number of tornadoes. The joint probability function for X and Y is
p(x, y) = c(x+2y), for x = 0, 1, 2, 3, y = 0, 1, 2, 3, x <= y; 0, otherwise,
where c is a constant.
Calculate the expected number of tornadoes that result in fewer than 50 million in losses.
(A) 0.19
(B) 0.28
(C) 0.76
(D) 1.00
(E) 1.10

I know that is a handful of a problem, but there is just so much material to know, and sometimes I do not even recognize: (1) what the problem is asking, or (2) I know what the problem is asking, but I do not know how to go about solving it.
This is for the 1st preliminary exam, Exam P: Probability. If I can pass this exam, the 2nd exam, Exam FM: Financial Mathematics, should be easier for me because I am an accountant and also have a finance degree. But I just don't understand probability.

Thanks!
~J.J.