pi / | | 2 | sin (y) dy | / 0
Integral(sin(y)^2, (y, 0, pi))
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:
Let .
Then let and substitute :
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:
Now substitute back in:
So, the result is:
The result is:
Add the constant of integration:
The answer is:
/ | | 2 y sin(2*y) | sin (y) dy = C + - - -------- | 2 4 /
Use the examples entering the upper and lower limits of integration.