Question

How do you integrate the following?

Answer 1

\[\int\limits_{}^{}\frac{ y ^{2}+1 }{ y}dy\]

Answer 2

Expand the inegrand

Answer 3

\[\int\limits \left( y+\frac{ 1 }{ y } \right)dy\] expanding the fraction, should be simple from there.

Answer 4

Does that make sense? If not let me know.

Answer 5

Ok wow, that was simple! I tried using integration by parts but keep going in circles

Answer 6

\[\frac{ 1 }{ 2 }y ^{2}+\ln(y)+C\]

Answer 7

Correct :)!

Answer 8

Yeah sometimes it just goes over are head, and we make it more complicated than it really is.

Answer 9

Thanks!

Answer 10

Np :D