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A function satisfies and
MATHEMATICS · Single correct · CBSE · Mathematics · Integrals · Integrals
Problem
A function
F
(
x
)
F(x)
F
(
x
)
satisfies
F
′
(
x
)
=
2
x
+
4
F'(x)=2x+4
F
′
(
x
)
=
2
x
+
4
and
F
(
1
)
=
6
F(1)=6
F
(
1
)
=
6
. Which of the following is
F
(
x
)
F(x)
F
(
x
)
? (a)
x
2
+
4
x
x^{2}+4x
x
2
+
4
x
(b)
x
2
+
4
x
−
1
x^{2}+4x-1
x
2
+
4
x
−
1
(c)
x
2
+
4
x
+
1
x^{2}+4x+1
x
2
+
4
x
+
1
(d)
2
x
2
+
4
x
2x^{2}+4x
2
x
2
+
4
x
Related theory
Antiderivatives
Standard algebraic integrals
Integration as inverse process of differentiation
Integrals
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