Ellie H.
asked 03/23/22Let f be the function given by f(x)= \int_(10)^x (-t^2+2t+3)dt. On what intervals is f decreasing?
2 Answers By Expert Tutors
Juan G. answered 03/23/22
PhD in Mechanical Engineering with 5+ years of Teaching Experience
Hi Ellie!
All you need to do is apply the Fundamental Theorem of Calculus, find the roots of the polynomial and analyze the sign of the intervals where the roots are the boundaries.
If you need further assistance, just let me know.
Greetings,
Juan
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