Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
CBSE
MATHEMATICS · Single correct · CBSE · Mathematics · Integrals · Integrals
Problem
If
∫
x
2
e
−
2
x
d
x
=
e
−
2
x
(
a
x
2
+
b
x
+
c
)
+
d
\displaystyle\int x^2e^{-2x}\,dx=e^{-2x}(ax^2+bx+c)+d
∫
x
2
e
−
2
x
d
x
=
e
−
2
x
(
a
x
2
+
b
x
+
c
)
+
d
, then: (a)
a
=
1
a=1
a
=
1
(b)
b
=
2
b=2
b
=
2
(c)
c
=
1
2
c=\dfrac{1}{2}
c
=
2
1
(d)
d
∈
R
d\in\mathbb{R}
d
∈
R
Related theory
Integration by Parts
Integration Techniques
Integrals
Browse the problem library