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5 Cards in this Set

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8.5 (Irreducible Quadratic) Decomposition
p(x)/...(x^2+a^2)...
(Ax+B/x^2+a^2)+(cx+D/x^2+a^2)
Trig Substitution
square root of a^2-x^2
x=?
dx=?
x=asintheta
dx=acosthetadtheta
Square root x^2-a^2-->atantheta
x=
dx=
x=asectheta
dx=asecthetatanthetadtheta
How do you trig substitute an indefinite integral?
8.4 Trig substitution (indefinite)
1) make appropriate trig substitution to get trig interval in theta
2) evaluate the trig substitution
3)use triangle to back substitute into x
8.3
1+cot^2 theta
1+cot^2 theta=csc^2 theta