Question

antiderivative of (2+x^2)/(1+x^2)

Answer 1

\[\Large \int\limits \frac{2+x^2}{1+x^2}\;dx \quad=\quad \frac{1+\color{#DD4747}{1+x^2}}{\color{#DD4747}{1+x^2}}\;dx\]

Answer 2

\[\Large =\quad\int\limits \frac{1}{1+x^2}+\color{#DD4747}{1}\quad dx\]

Answer 3

Understand how I simplified the fraction? :o

Answer 4

yes

Answer 5

Hmm have you learned about this integral yet?\[\Large \int\limits \frac{1}{1+x^2}dx\]

Answer 6

arctanx

Answer 7

good good good.

Answer 8

so would it be arctanx +x +c ?

Answer 9

yes good job