Steven N.

asked • 10/02/23

Techniques of integration

Daughter is having a hard time with her homework tonight. This one is vexing her. Can someone assist in showing how to work it?


How large should n be to guarantee that the trapezodial rule approximation to integral 1 to 6 (-x^4+14x^3-36x^2+3x+3)dx is accurate to within .01?


How large should n be to guarantee that the simpson rule approximation to integral 1 to 6 (-x^4+14x^3-36x^2+3x+3)dx is accurate to within .01?

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Doug C. answered • 10/02/23

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Misspoke on the video. The determined value for n GUARANTEES that the error will be less than (or equal) 0.01. There could be smaller values of n that still give an error less than (or equal) 0.01

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