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Mathematics
Problem
State the new lower and upper limits of integration when the substitution
u
=
g
(
x
)
u=g(x)
u
=
g
(
x
)
is made in the definite integral
∫
x
=
a
x
=
b
f
(
g
(
x
)
)
g
′
(
x
)
d
x
\displaystyle\int_{x=a}^{x=b} f\bigl(g(x)\bigr)\,g'(x)\,dx
∫
x
=
a
x
=
b
f
(
g
(
x
)
)
g
′
(
x
)
d
x
.
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