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Yeah, that's what I thought, but...

Exercise 25(c), p.113, question 7 Solve the differential equation d^2x/dt^2 + 16x =0 subject to the conditions x=3 and dx/dt = 16 when t=0. Find the maximum displacement and the maximum speed if x metres is the displacement of a particle moving in a straight line at time t seconds. How is...

ok, thanks kaz1 and clintmyster.

What do you mean, "all the approximations", there's only one, isn't there? You mean use trap rule on y=x^2??

Hello. I cannot make sense of these two similar questions. from Cambridge 3 Unit Year 11, p.434, q10. A cone is generated by rotating the line y=2x about the x-axis between x=0 and x=3. Using the trapezoidal rule with four function values, estimate the volume of the cone. from Cambridge...

Am I right in thinking that the only way to evaluate the definite integral y=sqrt(9-x^2) from -3 to 3 is Simp/ Trap rule or by using formula for area of semicircle or by using substitution where x =3sin theta? Are there any other ways? (from the ext 1 course?)

That's some razor-sharp thinking from you right there, maths-bbqz. Goodness! How unpleasant! Why don't you come over here and say that? Oh, that's right. You can't, can you?

I am chilled, my homey brother-man.

Dude, I know, I was just adding my right answer to yours to balance out the first two incorrect answers in this thread. And so what if the thread is seven years old?

I get x/8 + 1/32(sin4x) + c