SOLUTION: Please help. Integrate {(1-cotx)^2

Question 886474: Please help. Integrate {(1-cotx)^2
Answer by Edwin McCravy(20060) (Show Source): You can put this solution on YOUR website!



                          Square the binomial:

AMP Parsing Error of [int((1-2cot(x)+cot^2x),dx)]: Invalid function '\x),dx)': opening bracket expected at /home/ichudov/project_locations/algebra.com/templates/Algebra/Expression.pm line 70.
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                          Write as the sum of three integrals:

AMP Parsing Error of [int((cot^2x)*dx)]: Invalid function '\x)*dx)': opening bracket expected at /home/ichudov/project_locations/algebra.com/templates/Algebra/Expression.pm line 70.
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                          Take out constant in second integral, and use the
                          Pythagorean identity AMP Parsing Error of [cot^2x=csc^2x-1]: Invalid function '\x=csc^2\x-1': opening bracket expected at /home/ichudov/project_locations/algebra.com/templates/Algebra/Expression.pm line 70.
.
 in the third integral: 


AMP Parsing Error of [int((csc^2x-1)*dx)]: Invalid function '\x-1)*dx)': opening bracket expected at /home/ichudov/project_locations/algebra.com/templates/Algebra/Expression.pm line 70.
.


AMP Parsing Error of [int((csc^2x)*dx)]: Invalid function '\x)*dx)': opening bracket expected at /home/ichudov/project_locations/algebra.com/templates/Algebra/Expression.pm line 70.
.


AMP Parsing Error of [int((csc^2x)*dx)]: Invalid function '\x)*dx)': opening bracket expected at /home/ichudov/project_locations/algebra.com/templates/Algebra/Expression.pm line 70.
.


                          The first and last integrals cancel

AMP Parsing Error of [int((csc^2x)*dx)]: Invalid function '\x)*dx)': opening bracket expected at /home/ichudov/project_locations/algebra.com/templates/Algebra/Expression.pm line 70.
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                          Use the integral formulas:

                           and AMP Parsing Error of [int((csc^2u),du)=-cot(u)+C]: Invalid function '\u),du)=-cot(u)+C': opening bracket expected at /home/ichudov/project_locations/algebra.com/templates/Algebra/Expression.pm line 70.
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Edwin

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