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

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

Question Image
Grade:12th pass

1 Answers

Aditya Gupta
2075 Points
2 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

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