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STPM Math T Sem. 2: Ex 11.2 Given that f(x)=tan(x), show that ...
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Solve the following differential equation cos^2(x)dy/dx +y = tan(x)
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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx
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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"
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logic Idempotent law show x=xVx
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Review: Linear form, Quadratic form & Bilinear form
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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx
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diff eq: Solve dy/dx = (2y4x^4)/(xy^3) ❌separable to ✅separable
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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(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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Lamar U 2nd way: evaluate integral ∫√(1+2ln(7x))/2 +10x^3/(x^4 +9) dx
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5 ways: integral ∫a^(px+q) dx
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2nd way: derivative ∫log (f(x))^g(x) (p(x))^r(x)
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Purdue U: Evaluate ∫sec^5/2(x) tan(x) dx where x= 0 to pi/3
2nd way: sq rt integral ∫(√x)/(x+1) dx
2 ways: trig integral ∫tan^3(x) sec^2(x) dx
#1 2019 MIT Integration Bee Final
#19 2019 MIT Integration Bee Final
Mohammad Ali Jinnah University: Integrate the followings.
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#23 2019 MIT Integration Bee Final