Question:
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:
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:
Updated On: June 02, 2025
- 135
- 90
- 150
- 120
Hide Solution
Verified By Collegedunia
The Correct Option is D
Solution and Explanation
The correct option is(D):120.
Was this answer helpful?
0
0
Top Questions on Double and triple integrals
Let \[ I = \pi^2 \int_0^1 \int_0^1 y^2 \cos \pi(1 + xy) \, dx \, dy. \] The value of \( I \) is equal to _________ (answer in integer).
- GATE ST - 2025
- Statistics
- Double and triple integrals
- The integral \(\int\limits_0^1\int\limits_0^x(x^2+ y^2) dy dx\) is:
- CUET (PG) - 2023
- Mathematics
- 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
- 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
- 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 More Questions
Questions Asked in CUET PG exam
- What is the one-word synonym for connotation?
- CUET (PG) - 2025
- Synonyms
- What is the antonym of eradicate?
- CUET (PG) - 2025
- Antonyms
- Who was the first Secretary-General of the UN?
- CUET (PG) - 2025
- United Nations and its Organizations
- What is the correct verb form: He, as well as his friends, ?
- Which preposition is correct: Chanakya lived ?
- CUET (PG) - 2025
- Prepositions
View More Questions
