Question

Intergrate. sqrt(5-4x-x^2)

Answer 1

\[\int\limits_{}^{}\sqrt{5-4x-x^2}\]

Answer 2

Looks like you should be able to complete the square, then use trig-sub

Answer 3

\(\large \sqrt{5-4x-x^2}=\sqrt{-1[x^2+4x-5]}=\sqrt{-1[(x^2+4x+4)-4-5]} \)
\(\large =\sqrt{-1[(x+2)^2-9]}=\sqrt{9-(x+2)^2}=\sqrt{3^2-(x+2)^2} \)

Answer 4

Thank you so much!