Evaluate the integral:` int(x^2+1)/(x+1)dx`
1 Answer | Add Yours
To solve, expand the integrand by dividing the numerator by the denominator. In doing so, it becomes:
`=int(x - 1 + 2/(x+1) )dx`
`=x^2/2-x+2ln|x+1| + C`
Hence, `int(x^2+1)/(x+1)dx = x^2/2-x+2ln|x+1|+C` .
Join to answer this question
Join a community of thousands of dedicated teachers and students.Join eNotes