1/2 / | | 1 + cos(x) | ---------- dx | 2 | x | / 3/10
Integral((1 + cos(x))/(x^2), (x, 3/10, 1/2))
Rewrite the integrand:
Integrate term-by-term:
Don't know the steps in finding this integral.
But the integral is
The integral of is when :
The result is:
Now simplify:
Add the constant of integration:
The answer is:
/ | | 1 + cos(x) 1 cos(x) | ---------- dx = C - - - Si(x) - ------ | 2 x x | x | /
4 10*cos(3/10) - - Si(1/2) - 2*cos(1/2) + ------------ + Si(3/10) 3 3
=
4 10*cos(3/10) - - Si(1/2) - 2*cos(1/2) + ------------ + Si(3/10) 3 3
Use the examples entering the upper and lower limits of integration.