Calculus help

Post an example. I took up to calc 2 last year. I'll see if I can remember.

Check out symbolab.com

Shows step by step solutions with explanations

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>>284619
You can look up plenty of examples online. It's basically the product rule in reverse.

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>>284619
It's a good tool to have on your tool belt to solve some tricky integrals. It's not something that is immediately obvious to use, but it's something to keep in mind if you ever find yourself exhausted of things to try. Like >>284622 shows, you can view the integral as basically and product of u and dv. Similar to when you do a u substitution, you are going to be taking the derivative of u, but this time you are also taking the anti-derivative of dv. What you want to try to do when choosing which is u and which is dv is to pick them so that they reduce to something easier to solve after taking the derivative / anti derivative. In my pic I'm just showing a case where u and dv are not obvious, but end up allowing you to actually take the anti-derivative of lnx.

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here's a random example while I have you guys here
∫ x^3ln5x

>>284621
>>284622
>>284629
thanks man and my fucking prof was saying it was derived from product rule but had nothing to do with it

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>>284630
It's clear you really want to get rid of that ln(5x) in there.

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>>284629
Another example I like is when you have cyclical things in you integrand (eg. e^x, cos, sin etc.)

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>>284637
>>284638
thanks anon you've been a huge help