Please solve the question in the attachment........... ..................... ..

2081 Points
3 years ago
this ques is VERY easy, but lengthy.
write the numerator as (2x+4) – 3
let denominator = f(x)
so we gotta integrate (2x+4)/f(x) – 3/f(x)
I1               I2
now, simply put x^2+4x+1=z to solve I1
for I2, put x= √3secy – 2
so, the integral finally reduces to cosecycoty whose integral we already know. combine both these results to obtain the final answer