Example: Find the sum

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-17,-11,-5,1,7,13,19 via median

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Solve the following differential equation cos^2(x)dy/dx +y = tan(x)

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Solve the following differential equation cos^2(x)dy/dx +y = tan(x)

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diff eq: Solve dy/dx = (2y4x^4)/(xy^3) ❌separable to ✅separable

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diff eq: Solve dy/dx = (2y4x^4)/(xy^3) ❌separable to ✅separable

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

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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^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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MPPET 1996 Hindustan: trig integral ∫ sin^2(x) -cos^2(x)/(sin^2(x) cos^2(x)) dx

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logic: tautology (¬p→q)∧(¬p→¬q) →p

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logic: tautology (¬p→q)∧(¬p→¬q) →p

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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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STPM Math T Sem. 2: Ex 11.2 Given that f(x)=tan(x), show that ...

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STPM Math T Sem. 2: Ex 11.2 Given that f(x)=tan(x), show that ...

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Show that ar sinh(x) = ln(x + √ (x^2+1))

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Diff Eq: Solve sec(x) dy/dx=y+sin(x) via Integrating factor [IF]

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Diff Eq: Solve sec(x) dy/dx=y+sin(x) via Integrating factor [IF]

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2 ways: diff eq Solve dy/dx=y-1

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2 ways: diff eq Solve dy/dx=y-1

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1st way: Differentiate the function w.r.t x log10(x)+logx(10)+logx(x)+log10(10)

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1st way: Differentiate the function w.r.t x log10(x)+logx(10)+logx(x)+log10(10)

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