pi / | | x*sin(x)*y dy | / 0
Integral((x*sin(x))*y, (y, 0, pi))
The integral of a constant times a function is the constant times the integral of the function:
The integral of is when :
So, the result is:
Add the constant of integration:
The answer is:
/ 2 | x*y *sin(x) | x*sin(x)*y dy = C + ----------- | 2 /
2 x*pi *sin(x) ------------ 2
=
2 x*pi *sin(x) ------------ 2
x*pi^2*sin(x)/2
Use the examples entering the upper and lower limits of integration.