1 / | | 2/x\ | sin |-| dx | \2/ | / 0
Integral(sin(x/2)^2, (x, 0, 1))
Rewrite the integrand:
Integrate term-by-term:
The integral of a constant is the constant times the variable of integration:
The integral of a constant times a function is the constant times the integral of the function:
The integral of cosine is sine:
So, the result is:
The result is:
Add the constant of integration:
The answer is:
/ | | 2/x\ x sin(x) | sin |-| dx = C + - - ------ | \2/ 2 2 | /
1/2 - cos(1/2)*sin(1/2)
=
1/2 - cos(1/2)*sin(1/2)
1/2 - cos(1/2)*sin(1/2)
Use the examples entering the upper and lower limits of integration.