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Digital Library of Mathematical Functions ID
1.4.E28
∫
a
b
f
(
ϕ
(
x
)
)
ϕ
′
(
x
)
d
x
=
∫
ϕ
(
a
)
ϕ
(
b
)
f
(
t
)
d
t
.
subscript
superscript
𝑏
𝑎
𝑓
italic-ϕ
𝑥
superscript
italic-ϕ
′
𝑥
𝑥
subscript
superscript
italic-ϕ
𝑏
italic-ϕ
𝑎
𝑓
𝑡
𝑡
{\displaystyle{\displaystyle\int^{b}_{a}f(\phi(x))\phi^{\prime}(x)\mathrm{d}x=% \int^{\phi(b)}_{\phi(a)}f(t)\mathrm{d}t.}}
Constraint(s)
Symbols List
d
x
𝑥
{\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
: differential of x
∫
{\displaystyle{\displaystyle\int}}
: integral
ϕ
(
x
)
italic-ϕ
𝑥
{\displaystyle{\displaystyle\phi(x)}}
: function
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