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root a^2 - x^2
x = asin theta, root a^2
root a^2 + x^2
x = a tan theta, root a^2 +x^2 = asec theta
root x^2 - a^2
x = asec theta, root x^2 - a^2 = a tan theta
INTEGRAL TEST
If f is positive, continuous, and decreasing for x > 1, and a sub n = f(n), then (SERIES) ∞∑n=1 an and ∞ ∫ 1 f(x) dx (improper integral) either both converge or both diverge.

P-SERIES
converges if p > 1, and diverges if p < 1

DIRECT COMPARISON TEST