n - 4 / | | / 1 \ | |------- - sin(x)| dx | | 2 | | \cos (x) / | / n - 4
Integral(1/(cos(x)^2) - sin(x), (x, n/4, n/4))
Integrate term-by-term:
The integral of a constant times a function is the constant times the integral of the function:
The integral of sine is negative cosine:
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 \ sin(x) | |------- - sin(x)| dx = C + ------ + cos(x) | | 2 | cos(x) | \cos (x) / | /
Use the examples entering the upper and lower limits of integration.