Ap BC Calculus Unit 6
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∫ (sec x tan x)dx = ?
(sec x) + C
∫ sinx dx
-cosx + c
∫ csc^2 x dx =
-cot x + C
∫ csc x + cot x dx=
-csc x + C
∫ 0 dx
C
∫ kf(x) dx
k ∫ f(x) dx
∫ k dx
kx + C
∫ cos x dx=
sin x + C
∫ sec^2(x) dx
tanx + C
∫ x^n dx
x^(n+1)/(n+1) + C
The Integral of 1/x
∫ 1/x = ln | x | + C
Integration for Bases Other Than e
∫ aˣ dx=(aˣ/lna) + C
The Integral of the Natural Logarithmic Function
∫ eˣ dx = eˣ + C
∫ [f(x) + g(x)] dx
∫ f(x) dx + ∫ g(x) dx
∫ f(x) - g(x) dx
∫ f(x) dx - ∫ g(x) dx
The Fundamental Theorem of Calculus
∫^b f(x) dx = F(b) - F(a) , where F is any antiderivative of f, that is, F prime= f