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The function is proposed as an antiderivative of on
MATHEMATICS · Single correct · CBSE · Mathematics · Integrals · Integrals
Problem
The function
F
(
x
)
=
x
3
+
k
x
F(x)=x^{3}+kx
F
(
x
)
=
x
3
+
k
x
is proposed as an antiderivative of
f
(
x
)
=
3
x
2
+
4
f(x)=3x^{2}+4
f
(
x
)
=
3
x
2
+
4
on
R
\mathbb{R}
R
. The value of
k
k
k
that makes this true is (a)
k
=
4
3
k=\dfrac{4}{3}
k
=
3
4
(b)
k
=
0
k=0
k
=
0
(c)
k
=
4
k=4
k
=
4
(d)
k
=
3
k=3
k
=
3
Related theory
Antiderivatives
Standard algebraic integrals
Integration as inverse process of differentiation
Integrals
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