>
Exams
>
Mathematics
>
Integration by trapezoidal and Simpson’s rules
>
if the value of the double integral 4 x 3 2 y 1 dy
Question:
If the value of the double integral
\(\displaystyle\int^{4}_{x=3}\displaystyle\int^{2}_{y=1}\frac{dydx}{(x+y)^2}\)
is
\(\log e (\frac{a}{24})\)
, then a is ____ (answer in integer).
GATE Metallurgy - 2024
GATE Metallurgy
Updated On:
Jan 23, 2025
Hide Solution
Verified By Collegedunia
Correct Answer:
25
Solution and Explanation
The correct answer is:25 to 25
Download Solution in PDF
Was this answer helpful?
0
5
Top Questions on Integration by trapezoidal and Simpson’s rules
If the trapezoidal rule with a single interval [0, 1] is exact for the approximate value of \( \int_0^1 (x^3 - cx^2) \, dx \). Then the value of \( c \).
AP PGECET - 2024
Engineering Mathematics
Integration by trapezoidal and Simpson’s rules
View Solution
View All
Questions Asked in GATE Metallurgy exam
The allowance provided to a pattern for easy withdrawal from a sand mold is
GATE Metallurgy - 2024
Different types of castings, design of patterns, moulds and cores
View Solution
A band brake shown in the figure has a coefficient of friction of 0.3. The band can take a maximum force of 1.5 kN. The maximum braking force (F) that can be safely applied is _____N (rounded off to the nearest integer).
GATE Metallurgy - 2024
Friction and its applications including rolling friction, belt-pulley, brakes, screw jack,etc
View Solution
Let f(z) be an analytic function, where z = x + iy. If the real part of f(z) is cosh x cos y, and the imaginary part of f(z) is zero for y = 0, then f(z) is
GATE Metallurgy - 2024
Analytic functions
View Solution
Consider the system of linear equations
x + 2y + z = 5
2x + ay + 4z = 12
2x + 4y + 6z = b
The values of a and b such that there exists a non-trivial null space and the system admits infinite solutions are
GATE Metallurgy - 2024
Systems of linear equations
View Solution
Which of the following beam(s) is/are statically indeterminate?
GATE Metallurgy - 2024
Indeterminate forms
View Solution
View More Questions