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Yo Riley, is it just me, or are integrals kind of fun? {{CMD_7}} I always feel accomplished when I finish one. {{CMD_8}} I know! Also, even though antiderivatives are difficult, we can always check our work by taking the derivative. {{CMD_9}} So awesome! {{CMD_10}} But something is bothering me. When we are doing substitution, we have to find {{MATH_11}} and {{MATH_12}} such that {{MATH_13}} How do we choose {{MATH_14}} and {{MATH_15}}? {{CMD_16}} Well, never ever pick {{MATH_17}}, this doesn't change anything! {{CMD_18}} And never ever pick {{MATH_19}} to be the entire integrand, this doesn't help either. {{CMD_20}} Somehow we must ``see'' one function ``nested'' inside of another. {{CMD_21}} I'm not sure there's an easy path to doing, this, I think it's gonna take practice. {{CMD_22}}

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