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All the values of for which are given by
MATHEMATICS · Single correct · CBSE · Mathematics · Integrals · Integrals
Problem
All the values of
a
a
a
for which
∫
1
2
{
a
2
+
(
4
−
4
a
)
x
+
4
x
3
}
d
x
≤
12
\int_1^2\left\{a^2+(4-4a)x+4x^3\right\}\,dx\leq12
∫
1
2
{
a
2
+
(
4
−
4
a
)
x
+
4
x
3
}
d
x
≤
12
are given by (1)
a
=
3
a=3
a
=
3
(2)
a
≤
4
a\leq4
a
≤
4
(3)
0
≤
a
<
3
0\leq a<3
0
≤
a
<
3
(4) None of these
Related theory
Linear Inequalities
Accumulation Concepts
Fundamental theorem of calculus
Definite integrals
Integrals
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