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If and , determine…
MATHEMATICS · Single correct · CBSE · Mathematics · Integrals · Integrals
Problem
If
∫
0
3
f
(
x
)
d
x
=
5
\displaystyle \int_{0}^{3} f(x)\,dx = 5
∫
0
3
f
(
x
)
d
x
=
5
and
∫
0
3
g
(
x
)
d
x
=
−
2
\displaystyle \int_{0}^{3} g(x)\,dx = -2
∫
0
3
g
(
x
)
d
x
=
−
2
, determine
∫
0
3
(
3
f
(
x
)
−
2
g
(
x
)
)
d
x
\displaystyle \int_{0}^{3}\bigl(3f(x) - 2g(x)\bigr)\,dx
∫
0
3
(
3
f
(
x
)
−
2
g
(
x
)
)
d
x
. (a)
11
11
11
(b)
17
17
17
(c)
19
19
19
(d)
13
13
13
Related theory
Properties of Definite Integrals
Accumulation Concepts
Integrals
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