M
matti0006
Guest
I have the function sqrt(x(0.5-x)) and take the integral from 0 to 0.5.
This works, however the function is obviously singular for x<=0 and x>=0.5.
I have calculated the integral and obtained a result. The question in the homework is as follows:
How does the singularity of the function affect the obtained results.
But it seems to me it doesn' t affect the obtained results as the function is only singular in x=0 and x =0.5 for its differentiated form, and you don't use the differentiated form anywhere in the integral.
The problem is whether the integral is affected because the function is singular for x=0 and x=0.5, and whether the integral would be different if you would replace it with a similar function (say of a variable t), that IS non-singular for all 0<=x<=0.5.
This works, however the function is obviously singular for x<=0 and x>=0.5.
I have calculated the integral and obtained a result. The question in the homework is as follows:
How does the singularity of the function affect the obtained results.
But it seems to me it doesn' t affect the obtained results as the function is only singular in x=0 and x =0.5 for its differentiated form, and you don't use the differentiated form anywhere in the integral.
The problem is whether the integral is affected because the function is singular for x=0 and x=0.5, and whether the integral would be different if you would replace it with a similar function (say of a variable t), that IS non-singular for all 0<=x<=0.5.