Im glad I found this channel. It made me realize that font can play a big role in absorbing the information. The rounded strokes make calculus feel less intimidating.
I got a bit uneasy on the last example b/c you left the lower and upper limits as the x values 0 and 8 when you expressed the integral in terms of u. I thought you were going to plug those in, but then you changed it all back in terms of x and it was worked out. I tell students to write x=0 and x=8 if they choose to go back to the x world. I find it a bit easier to to use u=1 and u=5 to evaluate the integral. No harm no foul though, but it does lead to confusion when x and u appear in the same integral.
Thanks for the feedback! My go-to strategy is to always go back in terms of x, so that is the method I chose to show. However I do agree that writing the limits as x=0 and x=8 is the better approach. And although I do show that step in my video on u-sub for calc 1, I did leave it out in this video which was not focused on u-sub. I never want to confuse anyone, so I will be sure to make that step more clear in future recordings. Thanks again!
講解得好清楚
讚 !
I just really wanted to say thank you this is the best math channel on youtube!
Im glad I found this channel. It made me realize that font can play a big role in absorbing the information. The rounded strokes make calculus feel less intimidating.
holy shit, this is a way shorter explaination for the formula than the professor leonard's one. thanks
I got a bit uneasy on the last example b/c you left the lower and upper limits as the x values 0 and 8 when you expressed the integral in terms of u. I thought you were going to plug those in, but then you changed it all back in terms of x and it was worked out. I tell students to write x=0 and x=8 if they choose to go back to the x world. I find it a bit easier to to use u=1 and u=5 to evaluate the integral. No harm no foul though, but it does lead to confusion when x and u appear in the same integral.
Thanks for the feedback! My go-to strategy is to always go back in terms of x, so that is the method I chose to show. However I do agree that writing the limits as x=0 and x=8 is the better approach. And although I do show that step in my video on u-sub for calc 1, I did leave it out in this video which was not focused on u-sub. I never want to confuse anyone, so I will be sure to make that step more clear in future recordings. Thanks again!
No he was right at last he substituted u with what it was but also using u as 1 and 5 is also true