0 / | | / 1 \ | |------- - 4*x| dx | | 2 | | \sin (x) / | / pi
Integral(1/(sin(x)^2) - 4*x, (x, pi, 0))
Integrate term-by-term:
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:
Don't know the steps in finding this integral.
But the integral is
The result is:
Now simplify:
Add the constant of integration:
The answer is:
/ | | / 1 \ 2 cos(x) | |------- - 4*x| dx = C - 2*x - ------ | | 2 | sin(x) | \sin (x) / | /
Use the examples entering the upper and lower limits of integration.