Question

\[\int\limits_{}^{}( 2x+3)\div \sqrt{x^{2}+x+1} dx\]
please solve this! you might take the substitition
t=x^2 + x+1 But i'm not sure whether it might work with that substitution!

Answer 1

@kelvinltr you should see this!

Answer 2

take 2x+3 as (2x+1)+2

first term is the derivative of the denominator and can be integrated directly and the second part can be integrated with Tan inverse

Answer 3

not tan inverse it's log isn't it! now only i remembered 2nd part can be done by log! i was stuck there ealier!

Answer 4

ah yep sorry :)

Answer 5

ya kwl (Y)! :)