3 ways: rational function integral ∫2x/(x+1)^2 dx

Tasuketsu -Fate of the Majority- Episode 12

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

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trig integral ∫sec(x) dx =

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3 ways: trig Show sec(2x)=sec^2(x)/(2-sec^2(x))

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examples: 2x2 matrix which is its own inverse

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1st/3 ways: Show 1+2+3+...+n=n(1+n)/2 via picture

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exp log derivative Know the differences ...

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2 ways: Find x if (3-x), -x, & √ (9-2x) are A.P

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

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3rd/3 ways: Express (4x-17)/((x+4)(2x-3)) in partial fractions via withOUT cover rule

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2 ways of "counting" (a+b)^2 = a^2+2ab+b^2

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OSU Math 1151 Practice3: Compute the derivative.

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alternate way: count sum 1+3+5+ ... +(2n-1)

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Properties of Determinants [examples with 2x2 matrix]

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Find the derivative of f(x)=(1+2x^2)(x-x^2) in 2 ways

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3 ways: derivative e^y=x

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integral ∫logb(√x) dx

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UT Austin: trig integral ∫(1/x^2) sin(1/x) cos(1/x) dx

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"baby" fact: exp e^(ix)

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trig integral ∫sin(x) cos(x) cos(2x) cos(4x) cos(8x) cos(16x) cos(32x) dx

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