Definite Integral Help ∫[-1,2]x√3:(x^2+5)*dx

[gtpeebs]

Definite Integral Help ∫[-1,2]x√3:(x^2-5)*dx

We are doing integrals in school and I cannot figure out how to do these. Can someone show me an example on this? ∫[-1,2]x√3: (x^2-5)*dx

Thanks

 

[tkhunny]

Is it this?

\(\displaystyle \int_{-1}^{2}\frac{x\sqrt{3}}{x^{2}+5}\;dx\)?

If so, try a substitution. u = x^2 + 5 looks compelling.

 

[gtpeebs]

Its actually the 3rd root of (x^2-5)

so it should be the following, x 3rd SqRt (x^2-5) at -1, 2

 

[tkhunny]

Oh, well, in that case, u = x^2 - 5 looks like a compelling substitution. Please show us ANY work.