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 ▸

y = 4(x^3) + 7x ... Find dy/dx


Use logarithms to solve the equation 2^5x = 3^2x+1 , giving the answer correct to 3 significant figures.


Given that y=ln([2x-1/2x=1]^1/2) , show that dy/dx= (1/2x-1)-(1/2x+1)


Find the area bounded by the curve y=(sin(x))^2 and the x-axis, between the points x=0 and x=pi/2