1 / | | ______________ | \/ 2 + 2*cos(x) dx | / 0
Integral(sqrt(2 + 2*cos(x)), (x, 0, 1))
Rewrite the integrand:
The integral of a constant times a function is the constant times the integral of the function:
Don't know the steps in finding this integral.
But the integral is
So, the result is:
Now simplify:
Add the constant of integration:
The answer is:
_______________________________ / / 2/x\ | / tan |-| | ______________ ___ / 1 \2/ /x\ | \/ 2 + 2*cos(x) dx = C + 2*\/ 2 * / 1 + ----------- - ----------- *tan|-| | / 2/x\ 2/x\ \2/ / / 1 + tan |-| 1 + tan |-| \/ \2/ \2/
(4*sqrt(cos(1)^2+2*cos(1)+1)*sin(1)*sqrt(sin(1)^2+cos(1)^2+2*cos(1)+1))/((cos(1)+1)*sin(1)^2+cos(1)^3+3*cos(1)^2+3*cos(1)+1)
Use the examples entering the upper and lower limits of integration.