Question

Help with integral? True or False?

Answer 1

\[\int\limits_{}^{} \frac{ 1 }{ x^2 + 4x - 5 } dx\] involves an arctangent?
True or False, and why, please?

Answer 2

Id say false, this can be solved with Partial fraction decamp and your answer wont involve an arctan.

Answer 3

Alternatively, you can complete the square in the denominator, so that you have
\[\int\frac{dx}{x^2+4x-5}=\int\frac{dx}{(x+2)^2-9}\]
which, if you choose the trig sub route, would involve arc/secant form (which disappears).