Properties of Determinants [examples with 2x2 matrix]

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trig integral ∫sec(x) dx =

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trig integral ∫sec(x) dx =

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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"

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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"

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MPPET 1996 Hindustan: trig integral ∫ sin^2(x) -cos^2(x)/(sin^2(x) cos^2(x)) dx

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MPPET 1996 Hindustan: trig integral ∫ sin^2(x) -cos^2(x)/(sin^2(x) cos^2(x)) dx

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

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

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2nd way: integral ∫ log √x(x^n) dx

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2nd way: integral ∫ log √x(x^n) dx

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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx

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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx

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M⁰n$†€® 8

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M⁰n$†€® 8

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2nd way: integral tan(x)/(1+tan(x)) dx

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2nd way: integral tan(x)/(1+tan(x)) dx

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Review Add Math: Show a^m a^n = a^(m+n) where m & n are any 2 positive integers

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Review Add Math: Show a^m a^n = a^(m+n) where m & n are any 2 positive integers

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2nd way: Express (4x-17)/((x+4)(2x-3)) in partial fractions via

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2nd way: Express (4x-17)/((x+4)(2x-3)) in partial fractions via

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2 ways: integral ∫(x^3+2x)/(x-1) dx

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2 ways: integral ∫(x^3+2x)/(x-1) dx

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CMU integral ∫1/(x^2 √(16x^2 -19)) dx

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CMU integral ∫1/(x^2 √(16x^2 -19)) dx

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3 picture views of the sum ... 1+2+3+...+n

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3 picture views of the sum ... 1+2+3+...+n

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Alternate way: Evaluate exp integral ∫1/√(1-e^(2x)) dx

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Alternate way: Evaluate exp integral ∫1/√(1-e^(2x)) dx

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Sum/Difference of 2 EVEN function is EVEN

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Sum/Difference of 2 EVEN function is EVEN

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2 ways: integral (3+5x)/(x(x-1)) dx

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2 ways: integral (3+5x)/(x(x-1)) dx

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2nd way: trig integral ∫sin^6(ax+b) cos^6(ax+b) dx

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2nd way: trig integral ∫sin^6(ax+b) cos^6(ax+b) dx

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4 ways: derivative x(log(x)-1)

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4 ways: derivative x(log(x)-1)

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Solve √(2x-5) -√(x-2) = 2

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Solve √(2x-5) -√(x-2) = 2

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Common log mistake: logb(xy^n) ≠ nlogb(xy)

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Common log mistake: logb(xy^n) ≠ nlogb(xy)

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