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Let’s check out your problem:
integrate
y
−
1
y^{-1}
y
−
1
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Math Problems
Grade 7
Multiply integers
Full solution
Q.
integrate
y
−
1
y^{-1}
y
−
1
Recognize integral form:
Recognize the integral form. We need to integrate
y
−
1
y^{-1}
y
−
1
, which is the same as
1
y
\frac{1}{y}
y
1
.
Apply integral rule:
Apply the integral rule for
y
−
1
y^{-1}
y
−
1
. The integral of
y
−
1
e
x
t
d
y
y^{-1} ext{d}y
y
−
1
e
x
t
d
y
is
e
x
t
l
n
∣
y
∣
+
C
ext{ln}|y| + C
e
x
t
l
n
∣
y
∣
+
C
, where
C
C
C
is the constant of integration.
Write final answer:
Write the final answer. So, the integral of
y
−
1
y^{-1}
y
−
1
is
e
x
t
l
n
∣
y
∣
+
C
ext{ln}|y| + C
e
x
t
l
n
∣
y
∣
+
C
.
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