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Chapter 5: Q37P (page 248)

鈭�x=12鈭�y=x2x鈭�z=0y-xdzdydx

Short Answer

Expert verified

The required integral value is76 .

Step by step solution

01

Definition of integration

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

02

Given Information

The integral鈭�x=12鈭�y=x2x鈭�z=0y-xdzdydx ,

To find the value for the given integral.

03

Finding the integral value

Now, integrate the given value,

I=鈭�12dx鈭�x2xdy鈭�0y-xdz=鈭�12dx鈭�x2xdy(y-x)=鈭�12dx12y2-xyx2x

Therefore,

I=鈭�122x2-12x2-2x2+x2dx=鈭�1212x2dx=16x312=76

Therefore, the required solution for the given integral is76 .

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