Question

Integrate
1+x/1+x^2

Answer 1

is this your question?
\[\int\limits_{}^{}\frac{ 1+x }{ 1+x^2 }dx\]

Answer 2

yes

Answer 3

i just did not know how to do the sign

Answer 4

\[\int\frac{1+x}{1+x^2}~dx=\int\frac{dx}{1+x^2}+\int\frac{x}{1+x^2}~dx\]
Trig sub for the first one, u-sub for the second.

Answer 5

\[\int\limits_{}^{}\frac{ 1 }{ 1+x^2 }dx=\tan^{-1} x\]

Answer 6

and complete second part.

Answer 7

I know that part already

Answer 8

I don't know the second part lol

Answer 9

for second part ,you can use sub :u=1+x^2

Answer 10

\[\left(\begin{matrix}x \\ 1+x^2\end{matrix}\right)\]

Answer 11

is it ln(1+x^2)divided by 2?

Answer 12

so the final answer is arctanx+ what i wrote above?

Answer 13

yes

Answer 14

okay, ty