Find the integral.
A. 4 ln 
+ 2xex-1 + C
B. 
+ 2ex + C
C. 
+ 2xex-1 + C
D. 4 ln 
+ 2ex + C
Answer: D
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Use reduction formulas to evaluate the integral.
A. - 
sin 4x cos2 4x + 
+ 
sin 8x + C
B. - 
sin 4x cos3 4x + 
+ 
sin 8x + C
C. - 
sin 4x cos3 4x + 
+ 
cos 8x + C
D. - 
sin 4x cos3 4x + 
+ 
sin 8x + C
Combine like terms and solve the following equation.66 = - 8s - 3ss = __________
Fill in the blank(s) with the appropriate word(s).
Compute the unit binormal vector and torsion of the curve. r(t) = 
A. B(t) = 
, ? = 
B. B(t) = 
, ? = 
C. B(t) = 
, ? = 
D. B(t) = 
, ? = - 
Determine whether the argument is valid or invalid.If I were your friend and you were my soulmate, then I'd never stop liking you. I've stopped liking you. Therefore, I am not your friend or you were not my soulmate.
A. Valid B. Invalid