Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Let and let . Determine the value of the constant that makes an antiderivative of on…
MATHEMATICS · Subjective · CBSE · Mathematics · Integrals · Integrals
Problem
Let
p
(
x
)
=
x
3
3
+
C
x
p(x)=\dfrac{x^{3}}{3}+Cx
p
(
x
)
=
3
x
3
+
C
x
and let
q
(
x
)
=
x
2
+
5
q(x)=x^{2}+5
q
(
x
)
=
x
2
+
5
. Determine the value of the constant
C
C
C
that makes
p
p
p
an antiderivative of
q
q
q
on
R
\mathbb{R}
R
.
Related theory
Differentiation Rules
Antiderivatives
Standard algebraic integrals
Integration as inverse process of differentiation
Integrals
Browse the problem library