How can you convert this int dx/(ax^2+bx+c)∫dxax2+bx+c into the form of 1/a int dx/(t^2 +- k^2)1a∫dxt2±k2 ?
int dx/(ax^2+bx+c)∫dxax2+bx+c =1/a int dx/(t^2 +- k^2)1a∫dxt2±k2
Please give a brief description.
https://byjus.com/maths/integrals-particular-function/
Number 7 point , how c/a -(b^2/4a^2)=+-kca−(b24a2)=±k
Please give a brief description.
https://byjus.com/maths/integrals-particular-function/
Number 7 point , how
1 Answer
Please see below.
Explanation:
Here ,
Now ,
To complete perfect square let
such that
So,
Formula :
So,
Subst. value of
Taking ,
Where,
Please note that , according to your question : Number 7 point: