You get a bonus - 1 coin for daily activity. Now you have 1 coin

3.4.4. Change the order of integration

Lecture



Let a double integral be given   3.4.4.  Change the order of integration . If the integration domain is D (Fig. 15), given by the inequalities   3.4.4.  Change the order of integration is also correct with respect to the OS axis, i.e. the boundary of the domain D is intersected by the straight line y = c ( c constant) at no more than two points, then the domain D can be given by other inequalities:

  3.4.4.  Change the order of integration .

Here α and β are the largest and smallest values ​​of y in the domain D , respectively;
x = 1 ( y ) is the left side of the boundary;
x = ψ 2 ( y ) is the right side of the boundary of the domain D.

Then in the double integral you can change the order of integration:

  3.4.4.  Change the order of integration

  3.4.4.  Change the order of integration

Fig. 15


Comments


To leave a comment
If you have any suggestion, idea, thanks or comment, feel free to write. We really value feedback and are glad to hear your opinion.
To reply

Mathematical analysis. Integral calculus

Terms: Mathematical analysis. Integral calculus