- #1
teng125
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double integral (6x^2 -40y)dA where it is a trianglewith vertices (0,3) , (1,1) and (5,3)
may i know how to divide the region according to this triangle??
may i know how to divide the region according to this triangle??
A double integral is a mathematical concept used in multivariable calculus to calculate the volume under a surface or the area between two surfaces in three-dimensional space.
A single integral calculates the area under a curve in two-dimensional space, while a double integral calculates the volume under a surface in three-dimensional space.
The expression (6x^2 - 40y)dA represents the function being integrated over the specified region, with dA representing the infinitesimal area element.
To evaluate a double integral, you first need to determine the limits of integration for both the inner and outer integrals. Then, you can use various integration techniques such as substitution or integration by parts to solve the integral.
Double integrals have many practical applications in fields such as physics, engineering, and economics. They can be used to calculate the volume and mass of three-dimensional objects, determine the center of mass of an object, and find the total surface area of a solid.