Hi I got urgent problems with this assignment involving integration
One is substituting t into the equation.
Limits [1, 10] Integrate (1*x^-1/2)* log*x^1/2 dx
Using x = t^2.
Firstly I worked out dx = 2t and substitute x and dx to get
Then I think that integrating that will get me
1/2[Ln|t|*1/t] with limits 1 and 10 but I got huge doubts at this stage.
And this one involves Trigionomic Substitution.
And Limits ["pi"/4, "pi"/2] Integrate dx/sinx where you use t = tan (x/2)
Only thing cae to mind was identities like tan(x/2) = sin(x/2)/cos(x/2) but didnt get far on this one either
Could you guys help me out pls?