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Chapter 5: Q1P (page 247)

鈭�x=01鈭�y=243xdydx

Short Answer

Expert verified

The solution for the given integral鈭�x=01鈭�y=243xdydx is 3.

Step by step solution

01

Definition of integration

Integration is a way of finding the whole by adding or summing the parts.

02

Given quantities

The integral鈭�x=01鈭�y=243xdydx,

To find the value for the given integral.

03

Finding the integral value

Integrate the given value,

鈭�x=01鈭�y=243xdydx=y2432x201=2脳32=3

Therefore, the required solution for the given integral is 鈭�x=01鈭�y=243xdydxis 3.

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Most popular questions from this chapter

Find the moment of inertia about a diagonal of a framework consisting of the four sides of a square of side a.

鈭�y=01鈭�x=01-y2ydxdy

Under the surface z = y(x+2) , and over the area bounded by x+y=0,y=1,y=x.

Find the Jacobians鈭�(x,y)/鈭�(u,y)of the given transformations from the variables x,y to variables u,v :

x=12(u2-v2)y=uv

( u and v are called parabolic cylinder coordinates)

A dielectric lamina with charge density proportional to y covers the area between the parabola y=16路x2 and the x axis. Find the total charge.
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