T - Given sin x dx = 2, determine the values of the following integrals. Be prepared to give an explanation for each value. -TT/2 2π [2* sin x dx = [7(2 + sin x) dx = TT/2 2π ( sin x dx = 2 sin x dx = = TT 3TT/2 2TT Cπ/2 f* ¹² sin.x dx = T sin x dx =

T - Given sin x dx = 2, determine the values of the following integrals. Be prepared to give an explanation for each value. -TT/2 2π [2* sin x dx = [7(2 + sin x) dx = TT/2 2π ( sin x dx = 2 sin x dx = = TT 3TT/2 2TT Cπ/2 f* ¹² sin.x dx = T sin x dx =

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.

Chapter6: Applications Of The Derivative

Section6.3: Implicit Differentiation

Problem 43E

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Question

Please answer the attached question and show all work for 6 integrals. Thank you.

Given f sin x dx = 2, determine the values of the following integrals.
Be prepared to give an explanation for each value.
•2π
T
sin x dx =
-TT/2
[(2 + sin x) dx =
0
2π
TT/2
sin x dx =
=
* 2 sin x dx =
TT
3TT/2
π/2
J™¹² sin
Cπ
-T
2TT
x dx
=
sin x dx =

With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.

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