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Given that and
MATHEMATICS · Single correct · CBSE · Mathematics · Integrals · Integrals
Problem
Given that
∫
1
5
p
(
x
)
d
x
=
4
\displaystyle\int_1^5 p(x)\,dx = 4
∫
1
5
p
(
x
)
d
x
=
4
and
∫
1
5
q
(
x
)
d
x
=
−
6
\displaystyle\int_1^5 q(x)\,dx = -6
∫
1
5
q
(
x
)
d
x
=
−
6
, determine the value of
∫
1
5
(
2
p
(
x
)
−
3
q
(
x
)
)
d
x
\displaystyle\int_1^5 \bigl(2p(x)-3q(x)\bigr)\,dx
∫
1
5
(
2
p
(
x
)
−
3
q
(
x
)
)
d
x
. (a)
2
2
2
(b)
26
26
26
(c)
−
2
-2
−
2
(d)
−
10
-10
−
10
Related theory
Properties of Definite Integrals
Accumulation Concepts
Integrals
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