Integrate comment log easily
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How to Integrate comment log
in this video were going to talk about how to find the indefinite integral of logarithmic functions like this one what is the integral of log base 4 of x it turns out that there is a formula you could use the integral of log base a of u d u is equal to u times log base a u divided by e where e is a constant 2.7182818 and that number divided by u prime now this works if that is if u is a linear function so this could be like 5x x 3x plus 4 and so forth if u is equal to x cubed plus 9 thats not a linear function its not going to work so just keep that in mind so in this example we can see that u is equal to x a is four and u prime the derivative of x is one so the answer is going to be u x log base a or four of u over e so thats going to be x over e divided by u prime which is 1. and so we dont need to write one and then plus the constant of integration so this is the integral of log base 4 of x so thats the simplest way to get the answer using the formula but lets talk about how
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