Question

hi guys i need help writing a Monte Carlo for area under a curve

Answer 1

define the curve
define a space that accommodates the curve
start throwing darts
keep track of (accumulate) the darts that are 'under' and 'over' the curve
monitor ratios: under/over,
under/total space,
over/total space,
(over + under) / total space
stop throwing darts when you think you have enuff.

Answer 2

thank you one more question how would one do if say for example my function is \[f(x) = 2x + 1\] with an interval \[[-2, 2]\]. Sorry im completely new to python

Answer 3

do you understand the concept?
http://en.wikipedia.org/wiki/Numerical_integration
http://en.wikipedia.org/wiki/Monte_Carlo_integration

if you just want a complete solution, try a search for - Monte Carlo integration python

break the problem down (like i did above) and try to write discrete pieces of code to solve each. then put them together.

things to consider:
- how to define a function?
- how to define the encapsulating space?
- how to accumulate the 'darts'
- do you need a data structure? or more than one? which?
- do need to iterate? while, for loops? or recursion?
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