Calculus, aka "The Anals of Hell"
"this should be fun, in the sense that we're going to have one hell of a time."
-Reza Aftabizadeh, Calculus professor Winter 1997
Review Trigonometry
Derivatives
(sin x)' = cos x
(cos x)' = -sin x
Integrals
(S means "the integral of")
S u^n du = 1/(n+1) * u^(n+1) + C
n not = to -1
S 1/u du = ln|u| + C
S e^u du = e^u + C
S a^u du = 1/ln a * a^u + C
Integration by parts
S u dv = uv - S v du
Trig functions
S sin u du = -cos u + C
S cos u du = sin u + C
S (sec u)^2 du = tan u + C
S (csc u)^2 du = -cot u + C
S (sec u)(tan u)du = sec u + C
S (csc u)(cot u)du = -csc u + C
S tan u du = ln |sec u| + C
Hyperbolic trig
S sinh u du = cosh u + C
S cosh u du = sinh u + C
S tanh u du = ln cosh u + C
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Email: as410597@ohiou.edu
