U Substitution for Definite Integral with and without Changing Lower and Upper Limits Example

Worked Example of U Substitution for Definite Integral, which we evaluate with and without changing the lower and upper limits of the integral.
The idea is to write the integral in terms of u and then to either:
- write the lower and upper limits in terms of u to evaluate the integral, or
- find the integrand's antiderivative to then evaluate using the limits written in terms of x
This was used in both IB AA SL and HL Mathematics classes.

[@wintermelon8268]

Great video! Just subscribed 😄

[@RadfordMathematics]

Thanks for the kind comment and for subscribing!!! I’m really glad it helped 😊

[@wintermelon8268]

@@RadfordMathematics Most videos and college/uni calculus textbooks only show integration by changing the upper and lower limits, never knew this could be done.

[@RadfordMathematics]

@@wintermelon8268 oh it definitely can be done 😊. At times it makes things far easier, definitely worth knowing.

[@huhguy]

This is helpful

[@RadfordMathematics]

Thanks for your comment! Really glad/hope it helps 😊.
Take good care ✌️

[@huhguy]

@@RadfordMathematics you to