>
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
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
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
Questions Asked in CUET PG exam
What is the correct verb form: He, as well as his friends, ?
CUET (PG) - 2025
Verbs
View Solution
Which preposition is correct: Chanakya lived ?
CUET (PG) - 2025
Prepositions
View Solution
Identify the possessive noun: My office car is parked elsewhere.
CUET (PG) - 2025
Nouns
View Solution
Which tense is appropriate: How did Saira ?
CUET (PG) - 2025
Tenses
View Solution
Complete the sentence: There is a growing synthesis between humanism and ?
CUET (PG) - 2025
Sentence Completion
View Solution
View More Questions