Question

Please help me find the anti-derivative of 1/(4+x^2)

Answer 1

I'm trying to turn the 4 in the denominator into a 1 so that I may use arctan as the anti-derivative

Answer 2

Integrate.

Answer 3

yes i am integrating

Answer 4

I'm actually finding the volume of the solid but I just need help finding the anti-derivative of this function

Answer 5

Hmm.

Answer 6

You can factorize out the 4 to get \[\frac{ 1 }{ 4 }\int\limits_{}^{}\frac{ 1 }{ \frac{ x^2 }{ 4 }+1 } \]

Answer 7

Then use substituition by letting u=x/2