1 / | | cos(x)*sin(x) dx | / 0
Integral(cos(x)*sin(x), (x, 0, 1))
There are multiple ways to do this integral.
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 is when :
So, the result is:
Now substitute back in:
Let .
Then let and substitute :
The integral of is when :
Now substitute back in:
Add the constant of integration:
The answer is:
/ 2 | cos (x) | cos(x)*sin(x) dx = C - ------- | 2 /
2 sin (1) ------- 2
=
2 sin (1) ------- 2
Use the examples entering the upper and lower limits of integration.