Construction theorem

ffuh205

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Joined
Mar 17, 2010
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. Use the Construction Theorem to create the function F(x) = the integral of 2 sin(t^2) from -3 to x. Graph F(x) and list its Domain, Range and asymptotes. Find its derivative. Evaluate F(4). When does F(x) = 0? Find the global minimum value for F(x).

Ok. I am confused on this one. integral of 2 sin(t^2) is ? Its seems impossible to work backwards. I have - cos (t^2) but that is not right. I'm not exactly sure how to use the construction therem after that either. How can I find a value to x without knowing what x is? I think I can figure the rest out once I find out F(x)
 
Ok. I think I start out this way but am not sure what to do next. d/dx( ?-3x 2 sin(t^2)) = 2 sin(x^2))
 
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