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Trig Substitution for a^2 - x^2
Worksheet
Grade Level
Calculus II
CAL2.29 Trig Substitution for a^2 - x^2
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To use trig substitution on sqrt(4x - x
2
), which complete-square setup is correct?
A
sqrt((x - 2)
2
- 4); use x - 2 = 2 sec(theta); x <= 0 or x >= 4
B
sqrt(4 - (x - 2)
2
); use x - 2 = 2 sin(theta); 0 <= x <= 4
C
sqrt(4 + (x - 2)
2
); use x - 2 = 2 tan(theta); all real x
D
sqrt(2 - (x - 4)
2
); use x - 4 = 2 sin(theta); 2 <= x <= 6
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