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can someone help me find a appropriate trig sub for this problem:
[tex]\int\frac{x}{sqrt(-29-4x^2-24x)}[/tex]
took out sqrt(4)...
[tex]sqrt(4)*sqrt(-29/4-x^2-6x)[/tex]
(i also changed all the negative signs to positive)
complete the square...
[tex]sqrt(4)*sqrt((x+3)^2-7/4)[/tex]
so my trig sub should be sqrt(7/4)*sec(t)-3, but it's incorrect
[tex]\int\frac{x}{sqrt(-29-4x^2-24x)}[/tex]
took out sqrt(4)...
[tex]sqrt(4)*sqrt(-29/4-x^2-6x)[/tex]
(i also changed all the negative signs to positive)
complete the square...
[tex]sqrt(4)*sqrt((x+3)^2-7/4)[/tex]
so my trig sub should be sqrt(7/4)*sec(t)-3, but it's incorrect