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If the function satisfies the conditions of Rolle's theorem on
MATHEMATICS · Single correct · CBSE · Mathematics · Integrals · Integrals
Problem
If the function
y
=
f
(
x
)
y=f(x)
y
=
f
(
x
)
satisfies the conditions of Rolle's theorem on
[
1
,
3
]
[1,3]
[
1
,
3
]
, then the value of
∫
1
3
f
′
(
x
)
d
x
\int_1^3f'(x)\,dx
∫
1
3
f
′
(
x
)
d
x
is equal to (a)
0
0
0
(b)
1
1
1
(c)
2
2
2
(d)
3
3
3
Related theory
Theorems
Properties of Definite Integrals
Accumulation Concepts
Fundamental theorem of calculus
Integrals
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