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So the question is…Evaluate the following…

\(\displaystyle \frac{d}{dx} \left(\int _1^{x^2} \cos(t^2) \, dt \right)\)

I thought i could use the FTC on this because it states…

\(\displaystyle \frac{d}{dx} \left(\int_0^x f(t)\, dt \right)=f(x)\)

but i can't correct? because in my question it starts at 1…is there some way to apply FTC to my problem or is there another general formula for this kind of problem

Thanks

\(\displaystyle \frac{d}{dx} \left(\int _1^{x^2} \cos(t^2) \, dt \right)\)

I thought i could use the FTC on this because it states…

\(\displaystyle \frac{d}{dx} \left(\int_0^x f(t)\, dt \right)=f(x)\)

but i can't correct? because in my question it starts at 1…is there some way to apply FTC to my problem or is there another general formula for this kind of problem

Thanks

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