Why is u-sub necessary?
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Scenario: Evaluate the integral of the below function.
Finding the integral of t is easy...
...but with the integral methods we've learned thus far, it's impossible to integrate sin(t2). It's a composite function!
f(x) = sin(x)g(x) = x2
u-substitution is used when you’re dealing with the composite of two functions and cannot apply regular integral methods.