When to do u-substitution and when to integrate by parts
U-substitution is for functions that can be written as the product of another function and its derivative. $$\int u du$$ Integration by parts is for functions that can be written as the product …
How do I pick the right "u" for u substitution and when do I know I ...
Jan 24, 2021 · How do I pick the right "u" for u substitution and when do I know I need to use it? Ask Question Asked 4 years, 10 months ago Modified 4 years, 10 months ago
calculus - Why is it that, when using the u-substitution rule, you ...
Dec 4, 2018 · You can do the substitution in an indefinite integral, and then use the answer you get there to find the definite one. That requires: (i) doing the indefinite integral separately, …
How do I know when to use u-substitution in a integral like this ...
May 26, 2018 · How do I know whether to try a u-substitution or integration by parts first when there isn't an apparent function I can differentiate and easily replace within the integral?
calculus - U-sub without changing the bounds of integration ...
Apr 11, 2021 · For example, if you perform a $u$ -substitution and then convert everything back into $x$ and this final result in $x$ is very messy, it can often simply save time and possible …
Integration by substitution, why do we change the limits?
Jul 16, 2014 · I've highlighted the part I don't understand in red. Why do we change the limits of integration here? What difference does it make? Source of Quotation: Calculus: Early …
calculus - Question about $\int e^ {x^2} dx.$ Why can't it be ...
Apr 8, 2021 · I have a question about $\\int e^{x^2} dx.$ I understand that if you try and use u-substitution, you will end up with an integral that has both u and x in the integrand, which …
algebra precalculus - Calculus u-substitution, how to know when …
Feb 27, 2022 · Thank you, what I'm asking though is how does the $\sqrt {3}$ cause the denominator to go to $u^2+1$. I guess this is more of an algebra question.
Changing bounds with integration using $u$ substitution
Feb 4, 2014 · ok thank you. I completely forgot that you have to substitute the values back in
How to choose U in U-substitution integration method.
Sep 13, 2020 · Sometimes U-Sub doesn't work with quotients, you will need to solve by partial fraction decomposition method, why doesn't U-Sub work in this case? Can someone explain …