Consider the indefinite integral 4 dx

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 68E
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Consider the indefinite integral
4 dx
1) The mast appropridte substitution to simdify this
integral is
f Cx) =
U= FCE) where
we then
have
dx = glu) du
where
g(u) -
Hint: you need to back substitute for x in
term of u for this part
2) atter substituting nto the original integral
we obtuin Jh P) du
hlu)=
nt
where
+ C
to evaluate this integral rewrite the
numerator as
4= u - lu-4)
símplify, then integrate,
thus
obtaining
Jhle) do = H Lw)
where
H Cu) =
+ C
after substitutiny back for U we obtain
J
dx
Transcribed Image Text:Consider the indefinite integral 4 dx 1) The mast appropridte substitution to simdify this integral is f Cx) = U= FCE) where we then have dx = glu) du where g(u) - Hint: you need to back substitute for x in term of u for this part 2) atter substituting nto the original integral we obtuin Jh P) du hlu)= nt where + C to evaluate this integral rewrite the numerator as 4= u - lu-4) símplify, then integrate, thus obtaining Jhle) do = H Lw) where H Cu) = + C after substitutiny back for U we obtain J dx
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