1 / | | 2 | 2 | t*x*log (x) dx | / 0
Integral(t*x*(log(x)^2)^2, (x, 0, 1))
The integral of a constant times a function is the constant times the integral of the function:
Don't know the steps in finding this integral.
But the integral is
So, the result is:
Now simplify:
Add the constant of integration:
The answer is:
/ | | 2 / 2 2 4 2 2 2 \ | 2 |3*x x *log (x) 2 3 3*x *log(x) 3*x *log (x)| | t*x*log (x) dx = C + t*|---- + ---------- - x *log (x) - ----------- + ------------| | \ 4 2 2 2 / /
Use the examples entering the upper and lower limits of integration.