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PLEASE FIND ATTACHED THE IMAGE . PROVE tHE RESULT .I ALSO SOLVED THIS PROBLEM BUT I GOT DIFFERENT RESULT.

PLEASE FIND ATTACHED THE IMAGE . PROVE tHE RESULT .I ALSO SOLVED THIS PROBLEM BUT I GOT DIFFERENT RESULT.

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Grade:12th pass

2 Answers

Aditya Gupta
2081 Points
4 years ago
since it is of the form 1/LrootQ, L= linear and Q= quadratic, substitute L= 1/y
or y= 1/L= 1/x
– ∫dy/sqrt(1+4y^2)
put z= 2y
– ½ * ∫dz/sqrt(1+z^2)
now substitute z= tan u and ques ll become elementary
kindly approve :=))
 
Praveen Kumar Das
13 Points
4 years ago
@Aditya Gupta  !!! I got the same result by both of our approaches but it does not match RHS(Right Hand Side)

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