Question

Integrate:

Answer 1

\[\LARGE \int \sqrt{5+4x-x^2}~dx\]

Answer 2

@dan815

Answer 3

so complete square first of all

Answer 4

integral sqrt(9-(x-2)^2)
u=(/x-2)
du=dx

Answer 5

then you can do trig sub

Answer 6

integral sqrt (9-u^2)
integral sqrt(9-9 sin^2 x)
u=3sinx
du= 3 cos dx
sqrt(9cos^2)
3cos * 3*cos dx

Answer 7

so we end up with
integral 9cos^2 dx

Answer 8

should be pretty straight forward from here. apply one of those hand angle formulas or something and solve it