2nd/3ways: sum Show 1+2+3+...+n=n(1+n)/2

trig integral ∫sec(x) dx =

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3rd/3 parts: Growing patterns

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

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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx

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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(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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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx

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AI 2008 Hindustan 2nd/2 ways: Evaluate trig integral ∫2cos(x)/(3 sin^3(x)) dx

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

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

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Yuji Itadori [AMV] _ Skyfall (Jujutsu Kaisen)

LibZon

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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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2nd way: integral ∫x/(a-bx^4) dx

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

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"baby" fact: exp e^(ix)

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

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3 ways: derivative e^y=x

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Demon Slayer : The complete series with all its episodes is in the description Linkof all series :

ANIME_MOVIE_13

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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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Properties of Determinants [examples with 2x2 matrix]

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