Question

evaluate the given integral using a substitution
(xe^-x^2+8 +e^5x) dx

Answer 1

\[\int xe^{-x^2}\;dx+\int 8\;dx+\int e^{5x}\;dx\]
For the first integral, let \(u=-x^2\).
For the third, let \(u=5x\).
The second integral doesn't require a substitution.