Numerical Integration

[khánh huy]

I don't understand why they can have an equation (7) with the integration at the right-hand side?

 

[Romsek]

somehow I don't think this belongs in the beginning algebra forum.

 

[MarkFL]

I've moved the thread.

I don't understand why they can have an equation (7) with the integration at the right-hand side?View attachment 13585

Suppose we have:

[MATH]I=\int_a^b k_1t^2+k_2t+k_3\,dt[/MATH]
Then, using (7), we may state:

[MATH]I=k_1(A_0t_0^2+A_1t_1^2+A_2t_2^2)+k_2(A_0t_0+A_1t_1+A_2t_2)+k_3(A_0+A_1+A_2)[/MATH]
Do you see now why integration is required as part of the definition of (7)?

 

[khánh huy]

somehow I don't think this belongs in the beginning algebra forum.

This is in my linear algebra so i think it belongs to algebra and a little calculus

 

[khánh huy]

I've moved the thread.



Suppose we have:

[MATH]I=\int_a^b k_1t^2+k_2t+k_3\,dt[/MATH]
Then, using (7), we may state:

[MATH]I=k_1(A_0t_0^2+A_1t_1^2+A_2t_2^2)+k_2(A_0t_0+A_1t_1+A_2t_2)+k_3(A_0+A_1+A_2)[/MATH]
Do you see now why integration is required as part of the definition of (7)?

I know what you mean but i still don't know how to have the equation(7)
Thank you very much Mr. MarkFL!!