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Let where is differentiable on an open interval containing
MATHEMATICS · Subjective · CBSE · Mathematics · Integrals · Integrals
Problem
Let
F
(
x
)
=
∫
a
x
f
(
t
)
d
t
F(x)=\displaystyle\int_{a}^{x} f(t)\,dt
F
(
x
)
=
∫
a
x
f
(
t
)
d
t
where
f
f
f
is differentiable on an open interval containing
a
a
a
. Write an explicit formula for
F
′
′
(
x
)
F''(x)
F
′′
(
x
)
in terms of
f
f
f
.
Related theory
Accumulation Concepts
Fundamental theorem of calculus
First fundamental theorem of calculus
Integrals
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