# find the derivative of the function. find the derivative of the function. g(x)=integral (1-2x) to (1+2x) (tsint)dt

Rico Grant | Certified Educator

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Find `g'(x)` if `g(x)=int_(1-2x)^(1+2x) tsint dt` :

First note that tsint is continuous, so we can apply the second part of teh fundamental theorem of calculus. However, it is only defined for integrals of the form `int_a^x` where a is a constant and x represents some function, so we have to rewrite the integral:

`int_(1-2x)^(1+2x)...

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