Basic Integration Example 07 (Changing Base of an Exponential Function)

This is the seventh of 21 videos, each of which is devoted to solving a 'basic' integral problem. I have assumed that you have watched the previous videos in this series (and practised the skills discussed therein), or that you have learned integration at school and are moderately proficient with the basic techniques.

My aim is to discuss strategies and patterns ... things to look for and traps that you may encounter. In other words, I try to emulate the kinds of thoughts that may go through a student's mind when confronted with different kinds of integrals.

I will not discuss each integral in the text here, so the text will remain essentially the same for all 21 videos (sorry ... you will just have to watch the videos ^^).

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

If you wish to be kept up to date with what I am producing on the website (ad free, spam free, cost free mathematics and study materials), please add your name to the mailing list there.

Best wishes for your study and your mathematics!

Thank you.

[carlcodog]

I was having a hard time solving the same problem but when I saw your video on how to solve it, It surely did became crystal clear to me... thank you I hope you're doing well

[ДаняКурсинский]

Thanks you for not just using formulas like a lot of guys out there and explaining instead! Ablosutely amazing!

[ranemfadi]

Honestly, I am Jordanian Senior🇯🇴, when I watched this video, everything became clear and very easy. Thank you ❤️

[debjit]

Most relevant solution even after 8 years, thank you sir!

[mincheibabao]

OMG THANK YOU SO MUCH FOR THIS WELL EXPLAINED SOLUTION THIS LITERALLY WILL HELP INCREASE MY MARKS IN MY UPCOMING TEST

[anthonyramirez]

Thank you! This made it easy to understand. It is ingenious the way you transformed the original equation to what it becomes in the 3rd line.

[sibamanik]

6 years later and he's still replying to the a legend

[keshavpande]

Thank you so much for this - I hope you’re keeping well and safe

[ChrisRobinson-hlsz]

Great video, would love to see you return soon

[SomethingEnters]

Thank you so much! Ran into this problem and was absolutely stumped. I knew i had to use e somehow, but i didn't even think of the ln5/ln5 substitution that was brilliant! Appreciate the help! Cheers.

[songohan]

Thank you so much, you are helping a lot of students all over the world

[AnushkaChaurasiy.]

Thanku so much... ❤ foe this explanation... You are a very kindfull person😊..becouse i saw your all comments ....love from india❤

[varshabahuguna]

Finally my doubt is solved. Thanku so much for this video.

[Blue-bbro]

thank you sir!! what a great way to handle random exponents

[AceOfHearts]

fantastic rare thanks so much. Hope ur health is well sir.

[FEG_Studio]

THANK YOU SO MUCH FOR THIS WELL EXPLAINED SOLUTION

[postnubilaphoebus]

Very good explanation. Already clear after 2 minutes.

[Noahram]

Awesome videos made everything much more transparent

[Gujjar-mykm]

Hey .I m from India .it s very helpful video for me✨💫love from India....

[zowduim]

the exception here is 1, as 1^x/ln 1 is undefined according to the formula. But according to the method, we will get the correct answer that is x+C