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Evaluate:  

  • a)

  • b)
    1/√3 arc tan[(x-2)/√5] + C

  • c)

  • d)

Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Evaluate:a)b)1/√3 arc tan[(x-2)/√5] + Cc)d)Correct answer ...
  
Let's apply the integral substitution,
substitute 
Now use the standard integral :
substitute back u=(x-2) and add a constant C to the solution,
 
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Most Upvoted Answer
Evaluate:a)b)1/√3 arc tan[(x-2)/√5] + Cc)d)Correct answer ...
  
Let's apply the integral substitution,
substitute 
Now use the standard integral :
substitute back u=(x-2) and add a constant C to the solution,
 
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Community Answer
Evaluate:a)b)1/√3 arc tan[(x-2)/√5] + Cc)d)Correct answer ...
Taking negative sign before 9 in the question gives 2 nd option but by taking positive sign in front of 9 it  gives us an expression similar to 4 th option ,the change is that there should be plus in front of 9 in the 4 th option.
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