What is the derivative of the integral(from t to 5) of cos (s^2) ds

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What is the derivative of the integral(from t to 5) of cos (s^2) ds

[From: ] [author: ] [Date: 11-05-03] [Hit: ]

-Yes, you are correct.You interchange the limits by placing -1 next to the derivative.Then, you apply Second Fundamental Theorem of Calculus.Nice job!......

If I had to guess I'd say the answer is -cos(t^2) ... is that right? I guess I'm confused by the 5, but since it's a specific point maybe that doesn't matter?

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Yes, you are correct. You interchange the limits by placing -1 next to the derivative. Then, you apply Second Fundamental Theorem of Calculus.

Nice job!

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