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in this video were going to talk about how to find the indefinite integral using integration by tables so lets start with this example problem what is the integral of 1 divided by x squared times the square root of 1 minus x squared dx so the first thing you need to do is identify the appropriate formula to use and typically you could find this in the back of your calculus textbook or maybe you have to look it up on google images or something but heres the formula that you need for this particular example the integral of 1 over u squared times the square root of a squared minus u squared d u this is equal to negative 1 over a squared u times the square root of a squared minus u squared plus c so what we need to do is convert this expression into one that contains the u variable so we can clearly see that x squared and u squared theyre the same so if u squared is equal to x squared that means that u is equal to x and d u is equal to dx now we could also see that a squared is 1 squa