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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)
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Trig Substitution
square root of a^2-x^2 x=? dx=? |
x=asintheta
dx=acosthetadtheta |
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Square root x^2-a^2-->atantheta
x= dx= |
x=asectheta
dx=asecthetatanthetadtheta |
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How do you trig substitute an indefinite integral?
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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 |
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8.3
1+cot^2 theta |
1+cot^2 theta=csc^2 theta
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