Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Given and , where satisfies and , determine the value of…
MATHEMATICS · Subjective · CBSE · Mathematics · Integrals · Integrals
Problem
Given
∫
1
4
f
(
t
)
d
t
=
6
\displaystyle \int_{1}^{4} f(t)\,dt = 6
∫
1
4
f
(
t
)
d
t
=
6
and
∫
4
6
f
(
t
)
d
t
=
−
2
\displaystyle \int_{4}^{6} f(t)\,dt = -2
∫
4
6
f
(
t
)
d
t
=
−
2
, where
F
F
F
satisfies
F
′
(
x
)
=
f
(
x
)
F'(x)=f(x)
F
′
(
x
)
=
f
(
x
)
and
F
(
1
)
=
2
F(1)=2
F
(
1
)
=
2
, determine the value of
F
(
6
)
F(6)
F
(
6
)
.
Related theory
Properties of Definite Integrals
Accumulation Concepts
Fundamental theorem of calculus
Integrals
Browse the problem library