Use the substitution formula 2п (a) ļ V COS Z 2 + sin z dz ff(g(x))g' g(x))g'(x)dx= [ f(u)du where g(x) = u, to evaluate the followin g(a) a T (b) S T COS Z √√2+ sin z dz

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 2E
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g(b)
Use the substitution formula [f(g(x))g'(x)dx= [ f(u)du where g(x) = u, to evaluate the following integrals.
g(a)
(a)
2π
ļ
COS Z
2+ sin z
b
dz
a
(b)
π
S
- T
COS Z
2 + sin z
dz
Transcribed Image Text:g(b) Use the substitution formula [f(g(x))g'(x)dx= [ f(u)du where g(x) = u, to evaluate the following integrals. g(a) (a) 2π ļ COS Z 2+ sin z b dz a (b) π S - T COS Z 2 + sin z dz
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