>
Exams
>
Mathematics
>
Integrals of Some Particular Functions
>
if particular integral p i of d 2 4d 4 y x 3e 2x i
Question:
If particular Integral (P.I) of
\((D^2-4D+4)y=x^3e^{2x}\)
is
\(e^{mx}\frac{x^n}{20}\)
, then m
2
+n
2
is equal to:
CUET (PG) - 2023
CUET (PG)
Updated On:
Mar 21, 2024
29
30
31
28
Hide Solution
Verified By Collegedunia
The Correct Option is
B
Solution and Explanation
The correct option is(B):30.
Download Solution in PDF
Was this answer helpful?
0
0
Top Questions on Integrals of Some Particular Functions
If
\(\int \frac{dx}{(x+1)(x-2)(x-3)}=\frac{1}{k}log_e\left \{ \frac{|x-3|^3|x+1|}{(x-2)^4}\right \}+c\)
, then the value of k is
WBJEE - 2023
Mathematics
Integrals of Some Particular Functions
View Solution
If $\int \sqrt{\sec 2 x-1} d x=\alpha \log _e\left|\cos 2 x+\beta+\sqrt{\cos 2 x\left(1+\cos \frac{1}{\beta} x\right)}\right|+$ constant, then $\beta-\alpha$ is equal to_______
JEE Main - 2023
Mathematics
Integrals of Some Particular Functions
View Solution
Let $f(x)=\int \frac{2 x}{\left(x^2+1\right)\left(x^2+3\right)} d x$ If $f(3)=\frac{1}{2}\left(\log _e 5-\log _e 6\right)$, then $f(4)$ is equal to
JEE Main - 2023
Mathematics
Integrals of Some Particular Functions
View Solution
If $\int \limits_0^\pi \frac{5^{\cos x}\left(1+\cos x \cos 3 x+\cos ^2 x+\cos ^3 x \cos 3 x\right) d x}{1+5^{\cos x}}=\frac{ k \pi}{16}$, then $k$ is equal to
JEE Main - 2023
Mathematics
Integrals of Some Particular Functions
View Solution
The integral $16 \int\limits_1^2 \frac{d x}{x^3\left(x^2+2\right)^2}$ is equal to
JEE Main - 2023
Mathematics
Integrals of Some Particular Functions
View Solution
View More Questions
Questions Asked in CUET PG exam
Find out the degree of the differential equation
\(\frac {d^2t}{ds^2}+(\frac {dt}{ds})^2+2t=0\)
CUET (PG) - 2023
Differential Equations
View Solution
The surface area of the sphere x
2
+ y
2
+ z
2
= 9 lying inside the cylinder x
2
+ y
2
= 3y is
CUET (PG) - 2023
Surface Area of Cube, Cuboid and Cylinder
View Solution
The Ombudsman in a newspaper organisation represents the point of view of the ___.
CUET (PG) - 2023
Journalism
View Solution
The orthogonal trajectories of the family of curves y =
\(ax^3\)
is
CUET (PG) - 2023
Curves
View Solution
The minimum distance of the point (3, 4, 12) from the sphere x
2
+ y
2
+ z
2
= 1 is
CUET (PG) - 2023
Coordinate Geometry
View Solution
View More Questions