>
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 21, 2024
\(\frac{1}{6}\)
\(\frac{1}{2}\)
\(\frac{1}{3}\)
1
Hide 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 Questions on Double and triple integrals
The value of
\(∫_0^{\frac{π}{2}}∫_0^{соs \theta} r\text{ }sin\theta\text{ }dr\text{ }d\theta\)
is
CUET (PG) - 2023
Engineering 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
Given below are two statements
Statement I: If
\(x=\frac{1}{3}(2u + v)\)
and
\(y =\frac{1}{3}(u − v)\)
, then
\(dxdy=\frac{-1}{3}\ dudv\)
Statement II: Area in Polar Co-ordinater
\(\int\limits^{\theta_1}_{\theta_1} \int\limits^{r_2}_{r_1} rd\theta dr\)
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
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