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 ▸How do I remember what trig functions differentiate to?
The curve C is paramterised by the equations: x = 5t + 3 ; y = 2 / t ; t > 0 Find y in terms of x and hence find dy/dx
Integral of sin^x dx
A smooth 4g marble is held at rest on a smooth plane which is fixed at 30 degrees to a horizontal table. The marble is released from rest - what speed is the marble travelling at 5 seconds after being released? Let g = 9.8ms^2