Nothing improper between the given limits:
Any problems with the anti-derivative?
I have to integrate Int(-1,1)(x2 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.
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?