6.1 Series Expansion
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Definition & Notation
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Arithmetic Properties
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Riemann Sum
6.2 Integral Definition & Properties
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Definition & Notation
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Arithmetic Properties
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Integration by Parts
6.3 Exponentiation Integrals
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$\int x^n dx$
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$\int (1/x)dx$
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$\int b^{a·x}dx$ & $\int e^{a·x}dx$
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$\int \log_b x dx$ & $\int \ln(x) dx$
6.4 Common Trig Integrals
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$\int \sin(a·x) dx$
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$\int \cos(a·x) dx$
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$\int \csc(a·x) dx$
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$\int \sec(a·x) dx$
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$\int \tan(a·x) dx$
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$\int \cot(a·x) dx$
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$\int \sin^{–1}(a·x) dx$
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$\int \cos^{–1}(a·x) dx$
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$\int \csc^{–1}(a·x) dx$
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$\int \sec^{–1}(a·x) dx$
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$\int \tan^{–1}(a·x) dx$
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$\int \cot^{–1}(a·x) dx$
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$\int \sin^2(a·x) dx$
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$\int \cos^2(a·x) dx$
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$\int \csc^2(a·x) dx$
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$\int \sec^2(a·x) dx$
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$\int \tan^2(a·x) dx$
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$\int \cot^2(a·x) dx$
6.5 Advanced Trig Integrals
6.6 Exponentiation & Trig Integrals
6.7 Integrals Involving $\sqrt{x^2+a^2}$ and $\sqrt{\pm x^2\mp a^2}$, $a>0$
6.10 Parametric & Polar Integration