Find the indefinite integral of f(x)=(1-x^2)/(1+x^2)
Int() in this case will refer to integralsAnswer is: f(x)=(1-x^2)/(1+x^2)=(2-(1+x^2)/(1+x^2)=-1+2/(1+x^2)=> Int(f(x))=Int(-1+2/(1+x^2))=Int(-1)+2Int(1/(1+x^2))=-x+2tan^-1(x)+C
Related Maths A Level answers
All answers ▸Explain how integration via substitution works.
How can I find the normal to a curve at a given point?
Write tan(3x) in terms of tan(x). Hence show that the roots of t^3 - 3t^2 - 3t + 1 = 0 are tan(pi/12), tan(5pi/12) and tan(3pi/4)
y = Sin(2x)Cos(x). Find dy/dx.