Homework Statement
The problem is: integrate: (1/(4x2+4x+5)2)dx
Homework Equations
The Attempt at a Solution
4x2+4x+5=(2x+1)2+4 gives:
∫dx/((2x+1)2+4)2
use regular substitution:
u=2x+1
du=2dx
dx=1/2du
gives: 1/2∫du/(u2+4)2)
trigonometric substitution:
u=tan(z)...
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