Find a function f and a number a such that f(t) 2+ [19)dt = 6x²³ t7 6x-3 f(x) = a

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
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Chapter2: Functions And Graphs
Section2.1: Functions And Function Notation
Problem 112E
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Find a function f and a number a such that
Cx
2+ ["119) dt - 6x³
-
=
t7
6x-3
ƒ(x) =
a =
Transcribed Image Text:Find a function f and a number a such that Cx 2+ ["119) dt - 6x³ - = t7 6x-3 ƒ(x) = a =
Use the Fundamental Theorem of Calculus to evaluate (if it exists)
2π
[²* — 3 csc2²(x) dx.
π
If the integral does not exist, type "DNE" as your answer.
Transcribed Image Text:Use the Fundamental Theorem of Calculus to evaluate (if it exists) 2π [²* — 3 csc2²(x) dx. π If the integral does not exist, type "DNE" as your answer.
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