1 / | | 8 | ------ dx | 2 | x + 4 | / 0
Integral(8/(x^2 + 4), (x, 0, 1))
/ | | 8 | ------ dx | 2 | x + 4 | /
/8\ |-| 8 \4/ ------ = ---------- 2 2 x + 4 /-x \ |---| + 1 \ 2 /
/ | | 8 | ------ dx | 2 = | x + 4 | /
/ | | 1 2* | ---------- dx | 2 | /-x \ | |---| + 1 | \ 2 / | /
/ | | 1 2* | ---------- dx | 2 | /-x \ | |---| + 1 | \ 2 / | /
-x v = --- 2
/ | | 1 2* | ------ dv = 2*atan(v) | 2 | 1 + v | /
/ | | 1 /x\ 2* | ---------- dx = 4*atan|-| | 2 \2/ | /-x \ | |---| + 1 | \ 2 / | /
/x\ C + 4*atan|-| \2/
/ | | 8 /x\ | ------ dx = C + 4*atan|-| | 2 \2/ | x + 4 | /
4*atan(1/2)
=
4*atan(1/2)
4*atan(1/2)
Use the examples entering the upper and lower limits of integration.