A-Level Maths: H5-31 Further Integration: Examples of Integration by Parts

[simsimme]

I wish u were my maths teacher, you make it make sense

[maryamyakisheva]

Thank you so much for your videos! You are an incredible teacher, your content is just soooo helpful!

[yxng_ahfq]

3:30 You mean best make sure you’re in Radians right? Since all of year 2 integration and differentiation is in Radians unless stated otherwise?

[helenzhao]

why at 2:56 is it negative 1/8? I'm slightly confused

Edit: I think I get it now. Is it just U substitution afterwards?

[mrboyban]

Hi Jack, could you help me with the following?
I found the integration expression for the following by using integration by parts, however having tried to change the limits for x=2secø I ended up with π/3 when x=4 . Would you be able to let me know where have I got it wrong?

the integration for x=2 to x=4 (4x^2-1)^1/2 dx. x=2secø

Many thanks.

[danielmoss]

Shouldn't the calculator be in radians mode for q2 in this video as conditions for the integral is in pi? 3:28

Hi Jack
I was wondering for the last question would you still get full marks if you wrote the answer in decimal form e.g 8.39?

[glokjdfngkjsdnf]

At 4:34 how do you get exact answers in terms of pi on your calculator, Thankyou

[musab]

why is the constant, c, always positive like in question 3?

[samuchie]

hi, could you explain for example 3 why the lnx was the U. Because i thought it would be X^3 because of the A from late stands for algebra .

[ellieblackwell]

For q2) at 3:50, how did you get 1? when i substitute sin(4) x 5pi/8 i get -1.47 no matter what I do. Thanks