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∑tan -1 (1/(x 2 +x+1))

∑tan-1(1/(x2+x+1))

Grade:12

1 Answers

Yash Jain
55 Points
6 years ago
The question is 
∫ tan-1[ 1/(x2+x+1) ] dx
This can be written as 
∫ tan-1[ {(x+1)-x} / {1+x(x+1)} ] dx
From the formula of tan-1[ (m-n) / 1+mn ], We get
∫ tan
-1(x+1) – tan-1x dx
I guess now you can proceed on your own.

 

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