Use the substitution to find the exact value of
limits root 3 and 1
I know, that when you sub you have to change the limits:
Please show me how to do this.
Thanks
limits root 3 and 1
Please show me how to do this.
Thanks[/quote]
x = tanθ
Then dx = sec^2(θ)*d(θ)
When x = 1, θ = Π/4
When x = sqrt(3), θ = π/3
The given integration becomes
int[(1-tan^2θ)/(1+tan^2θ)*sec^2(θ)*d(θ)
That reduces to
int[(1-tan^2(θ)*d(θ) between π/4 to π/3.
Put tan^2(θ) = sec^2(θ) - 1 and solve the integration.