2 ways: exp integral ∫(p^x + q^x)/r^x dx

A function f is called even if f(-x)=f(x) for ALL x in the domain of f &

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Review: Linear form, Quadratic form & Bilinear form

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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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2nd way: integral ∫ log √x(x^n) dx

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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx

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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx

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2nd/2parts: Linear interpolation (2 given points)

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integral ∫1/((px-q)^2-r) dx

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trig integral ∫sin^5(x) dx

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UC Davis #14: integral ∫x √(4-x) dx

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Example: Find the sum

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Which 3 are functions? Why the other 2 NOT?

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1st/2 ways: derivative y=(ln(x))^x

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logic: tautology p→q≡(¬q→¬p)

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Review: trig tan(x+360)= tan(x) & tan(x+180)=tan(x)

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logic: Show p→q ≡¬ p∨q

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Florida International U: Find derivatives ...defined implicitly ... (a)-(c)

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1st/2ways: logic Import-Export

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logic: Show (p→r)∨(q→r) ≡ (p∧ q) →r

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4ways: exp trig integral ∫ e^(cos^2(x)) sin(2x) dx

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