Nothing improper between the given limits:
Any problems with the anti-derivative?
I have to integrate Int_{(-1,1)}(x^{2} ln(x+5))dx
sorry for this way to write, but I didn't figure out the code to write it in proper form.
This integral is improper because it's not defined for x<=-5.
Is this true? How would you solve this integral in a fast way? I tried, but I always get stuck doing all the calculations. Can anyone give me some hint? Maybe there is a special way to solve integrals of this type?
Thank you for your help, now I remeber the definition that in order to be improper the indefinite values have to lie within the limits of integration.
Another try:
Int_{(1,2)}(x/(1^{2}-x)^{1/3})dx
This integral is improper because it is not defined for 1, which is inside of the limit of integration.
In order to check if it is convergent, I set 1=b than I solve the integral and take its limit b->0^{+}
The limit exists and is finite, therefore the integral converges. True?