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(cos(x)) dx cos(c) 3.

(cos(x)) dx cos(c) 3.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter8: Further Techniques And Applications Of Integration
Section8.2: Integration By Parts
Problem 44E
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Please answer for step 3, thank you!! ALL PARTS
And the vakes) or C QuNanteed by the Meon Value Theorem for Integras Por the unction aver the gliven Intervai, K) - Dos(x), Slep 1 Recoll that the Mean Vakue Theorem is stated as follows. Ir ris continuous on the dosed Interval ra, bl, then there exdsts a number cIn the closed Interval fa, 01 such that X) dx - Tc)(D - a). In terms of area, this means there isa rectangie with side lengths Ac) and (b -a) that has the same anca as found by J. We are given the function x) - Cos(x) and the Interval The function tx) Is iS continuDuS on the glven Interval. Therefore, we must find the value of cin that makes the following equation true. CoS(X) dx - cos(c Step 2 We will first evaluate the given Integral. (cos(x)) ax - sin 0.827413 Step 3 We have evaluated the given definite integral. Substitute this value on the left'side of the equstion and then solve for x) - cos(c) In the Mean Value Theorem. (cos(x)) dx - cos(c Vi- costet Vi- costc - cos/c) Submit Skip you canot coe back)
Transcribed Image Text:And the vakes) or C QuNanteed by the Meon Value Theorem for Integras Por the unction aver the gliven Intervai, K) - Dos(x), Slep 1 Recoll that the Mean Vakue Theorem is stated as follows. Ir ris continuous on the dosed Interval ra, bl, then there exdsts a number cIn the closed Interval fa, 01 such that X) dx - Tc)(D - a). In terms of area, this means there isa rectangie with side lengths Ac) and (b -a) that has the same anca as found by J. We are given the function x) - Cos(x) and the Interval The function tx) Is iS continuDuS on the glven Interval. Therefore, we must find the value of cin that makes the following equation true. CoS(X) dx - cos(c Step 2 We will first evaluate the given Integral. (cos(x)) ax - sin 0.827413 Step 3 We have evaluated the given definite integral. Substitute this value on the left'side of the equstion and then solve for x) - cos(c) In the Mean Value Theorem. (cos(x)) dx - cos(c Vi- costet Vi- costc - cos/c) Submit Skip you canot coe back)
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