Recent content by jackson_sun

what about compared to the monte carlo method of integration

Thanks gents

sorry gib z...i was actually referring to Halls of Ivy...i should have quoted him. Sorry

I understand exactly what you have done. How would it be done for the general terms is my bigger problem

yeh COS x is the integral of cos x...i meant integral of cos x and derivative of sin x...sorry for the confusion. I have realized how to simplify 'sin x so that it equals cos x...but i am not sure how to simplify the integral of cos x to equal sin x. COS x = x – (x^3 / 3 / 2!) + (x^5 / 5 /...

By strengths i mean...what are the advantages of using the riemann sums model over say the trapezoidal rule or monte carlo or definite integral...and limitations the contrary being what are the disadvantages about the model and what is limited in its use

I have been asked to differentiate cos x and six...the maclaurin series versions... I have done the general and specific terms as shown below. Im not sure if these are correct? thanks General Terms cos x = ∑ (-1)n (x^(2n) / (2n)!) COS x = ∑ (-1)n (x^(2n+1)/ (2n +1) / (2n)!)...

sin x = x – (x3 / 3!) + (x5 / 5!) – (x7 / 7!) + (x9 / 9!) - … ‘sin x = 1 – (3x2 / 3!) + (5x4 / 5!) - (7x6 / 7!) + (9x8 / 9!) - … cos x = 1 – (x2 / 2!) + (x4 / 4!) – (x6 / 6!) + (x8 / 8!) - … COS x = x – (x3 / 3 / 2!) + (x5 / 5 / 4!) – (x7 / 7 / 6!) + (x9 / 9 / 8!) - … are these the...

With strengths and limitations I was hoping to discover more about the strengths of using riemann sums over the other methods...and the limitations of the method compared to using the others... thanks

This question is similar to a question i am currently undertaking in my course study...could anyone help me with the assumptions that have been assumed Thankyou P.S. if anyone has any ideas about the strengths and limitations of this model that would also be of great assistance

This question is similar to a question i am currently undertaken in my course study...could anyone help me with the assumptions that have been assumed in this question (or for any riemann sums with infinite strips for that matter)? Thankyou P.S. if anyone has any ideas about the strengths and...