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Mohist Treasures + Xinfu GIFs
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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(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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logic Idempotent law show x=xVx
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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx
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Solve the following differential equation cos^2(x)dy/dx +y = tan(x)
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1st/2ways: Find the sum 1/7, 10/21, 17/21, 24/21, 31/21 via median.
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1st/3parts: Checkpoint 1.1 STPM Math T Sem2
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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"
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trig Write each expression as an equivalent algebraic expression involving only x.
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2 ways: sq root √x^x
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2nd Alternate trig ∫integral sin(x) dx
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2nd/3ways: exp Derivative x^x
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4th way: rational function integral ∫x^3/√ (1+x^2) dx
sq root log derivative √ ln(f(x))
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A function f is called even if f(-x)=f(x) for ALL x in the domain of f &
3rd/3ways: trig integral ∫sec(x) dx
integral ∫(2x+3)/(4x^2+1) dx
integral ∫√(x-a)/x dx
2nd Alternate: trig integral ∫cos(x) dx