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For a continuous function it is known that
MATHEMATICS · Subjective · CBSE · Mathematics · Integrals · Integrals
Problem
For a continuous function
f
f
f
it is known that
∫
4
9
f
(
t
)
d
t
=
−
7
\displaystyle\int_{4}^{9} f(t)\,dt=-7
∫
4
9
f
(
t
)
d
t
=
−
7
. If
g
(
x
)
=
∫
2
x
f
(
t
)
d
t
g(x)=\displaystyle\int_{2}^{x} f(t)\,dt
g
(
x
)
=
∫
2
x
f
(
t
)
d
t
and
g
(
4
)
=
3
g(4)=3
g
(
4
)
=
3
, determine the value of
g
(
9
)
g(9)
g
(
9
)
.
Related theory
Accumulation Concepts
Fundamental theorem of calculus
Integrals
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