![]() Which is also clearly not defined at x=1. I think you need multiplication signs () between CapitalPiMGammaa (or spaces) but it is hard to tell if that was a copy-paste problem. When you solve the indefinite integral: Integrate) - 1/Sqrt, x] PrincipalValue is an option for Integrate that specifies whether the Cauchy principal value should be found for a definite integral. Alessandra, Please use the code format button (upper left) to post code because the code is corrupted with a normal paste. You can also see that when you plot the integrand for some values a and b: Plot) - (1/Sqrt) /. Free Online Integral Calculator allows you to solve definite and indefinite integration problems. The third, however, is not familiar and does not lend itself to u u -substitution. The second integral can be evaluated using a standard u u -substitution with u 1x2. ![]() Recall that the first step in doing a definite integral is to compute the indefinite integral and that hasn’t changed. At some level there really isn’t a lot to do in this section. We now need to go back and revisit the substitution rule as it applies to definite integrals. ![]() When x equals a the denominators become zero. The first integral is a familiar basic one, and results in arcsin(x)+C. Section 5-8 : Substitution Rule for Definite Integrals. The problem might be the singularity at the lower integration boundary. IntegrateChangeVariables can be used to perform a change of variables for indefinite integrals, definite integrals, multiple integrals and integrals over geometric regions.
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