What is the best way to evaluate these integrals?
The solution should equal to 4rl³-3l⁴. and I need to check if it's correct. it's about a problem I solved by another approach. and I need to check if this approach will give the same answer.
for context, the problem is to find the probability that 4 real numbers are picked randomly between 0 and "r". to have a range less than some number "l".
This approach shown calculate the area where points could be placed to match the criteria. so I can divide that area (hyper-volume) over the total area which is r⁴.
The solution should equal to 4rl³-3l⁴. and I need to check if it's correct. it's about a problem I solved by another approach. and I need to check if this approach will give the same answer.
for context, the problem is to find the probability that 4 real numbers are picked randomly between 0 and "r". to have a range less than some number "l".
This approach shown calculate the area where points could be placed to match the criteria. so I can divide that area (hyper-volume) over the total area which is r⁴.