>
Exams
>
Mathematics
>
Double and triple integrals
>
the integral 1 x x 2 y 2 dy dx is
Question:
The integral
\(\int\limits_0^1\int\limits_0^x(x^2+ y^2) dy dx\)
is:
CUET (PG) - 2023
CUET (PG)
Updated On:
Mar 12, 2025
\(\frac{1}{6}\)
\(\frac{1}{2}\)
\(\frac{1}{3}\)
1
Show Solution
Verified By Collegedunia
The Correct Option is
C
Solution and Explanation
The correct option is(C)
Download Solution in PDF
Was this answer helpful?
0
0
Top CUET PG Mathematics Questions
If x, y, z in the axis of a given 3D Geometrical shape, then the given coordinate point (-4,7,-1) will lie in which octant
CUET (PG) - 2023
Mathematics
Coordinate Geometry
View Solution
See the adjacent figure and find the value of ∠A in the semicircle
CUET (PG) - 2023
Mathematics
Circles
View Solution
The figure (A) is showing which type of function?
CUET (PG) - 2023
Mathematics
Functions
View Solution
Find out the degree of the differential equation
\(\frac {d^2t}{ds^2}+(\frac {dt}{ds})^2+2t=0\)
CUET (PG) - 2023
Mathematics
Differential Equations
View Solution
Ram and Mohan can do a piece of work in 20 days. Mohan alone can do the work in 30 days. In how many days will Ram alone complete the work.
CUET (PG) - 2023
Mathematics
Time and Work
View Solution
View More Questions
Top CUET PG Double and triple integrals Questions
Double integral
\(\int\limits_0^2\int\limits_0^{\sqrt{2x-x^2}}\frac{xdydx}{\sqrt{x^2+y^2}}\)
equals:
CUET (PG) - 2023
Mathematics
Double and triple integrals
View Solution
The value of double integal
\(\int\limits_0^∞\int\limits_0^xe^{-xy} ydydx\)
is equal to:
CUET (PG) - 2023
Mathematics
Double and triple integrals
View Solution
Given below are two statements
Statement I: In cylindrical co-ordinates,
\(Volume = \int \int\limits_{V} \int rdrdødz \)
Statement II: In spherical polar Co-ordinates,
\(Volume = \int \int\limits_{V} \int r^2\ \cos\theta\ drd\theta d\phi\)
In the light of the above statements, choose the correct answer from the options given below :
CUET (PG) - 2023
Mathematics
Double and triple integrals
View Solution
If
\(\int \int\limits_{R} \int xyz\ dxdydz=\frac{m}{n}\)
where, m,n, are coprime and R:0≤x≤1,1≤ y ≤2, 2 ≤ z ≤3 , then m.n is equal to:
CUET (PG) - 2023
Mathematics
Double and triple integrals
View Solution
Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R
Assertion A: The integral
\(\int \int \int (x^2+y^2+z^2)dxdydz\)
taken over the volume enclosed by the sphere x
2
+ y
2
+z
2
= 1 is
\(\frac{4\pi}{5}\)
Reason R:
\(\int^{1}_{0}\int^{1}_{0}x\ dxdy=\frac{1}{2}\)
In the light of the above statements, choose the most appropriate answer from the options given below:
CUET (PG) - 2023
Mathematics
Double and triple integrals
View Solution
View More Questions
Top CUET PG Questions
Given below are two statements:
Statement I
: For Plato the meaning of the word 'Justice' is basically a conception in the mind only.
Statement II
: For Plato the meaning of the word 'Justice' is fixed, mind-independently
In the light of the above statements, choose the correct answer from the options given below:
CUET (PG) - 2023
Statements and Inferences
View Solution
What is the electron count of OS6CO182-?
CUET (PG) - 2023
coordination compounds
View Solution
XeF
4
hydrolysis gives A + B, HF, and Oxygen. Find A and B
CUET (PG) - 2023
p -Block Elements
View Solution
What is more basic in pyrol and pyridine?
CUET (PG) - 2023
Amines
View Solution
Hydrolysis of Al
2
C
3
, Be
2
?
CUET (PG) - 2023
p -Block Elements
View Solution
View More Questions