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urgent can you please help me out by telling some substitutions that can be done to solve indefinite integration

urgent


can you please help me out by telling some substitutions that can be done to solve indefinite integration


 

Grade:

1 Answers

SAGAR SINGH - IIT DELHI
879 Points
11 years ago

Dear student,

For terms of the form x2 + a2 or √x2 + a2, put x = a tanθ or a cotθ

 

          For terms of the form x2 - a2 or √x2 – a2 , put x = a sec θ or a cosecθ

 

          For terms of the form a2 - x2 or √x2 + a2, put x = a sin θ or a cosθ

 

•         If both √a+x, √a–x,  are present, then put x = a cos θ.

 

•         For the type √(x–a)(b–x), put x = a cos2θ + b sin2θ

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