#8 Lamar U: evaluate integral sec^8(t/2) tan^5(t/2) dt

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

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

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

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2nd way: derivative (x^x)^x

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Review: Linear form, Quadratic form & Bilinear form

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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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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx

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Why the mean of AP is the median of AP? mean=median?

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prob stat In a sample of n= 6 scores, 5 of the scores are each above the mean by one point.

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2nd way: integral tan(x)/(1+tan(x)) dx

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The pth, qth, & rth terms of an AP are x,y,z respectively.

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prob stat: A group consists of 4 girls & 7 boys. In how many ways can a team of 5 members ...

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Add math: Find the equation of the line ...

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2nd way: integral ∫x/(2ax-x^2) dx

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UC Davis#2: 2nd way integral ∫(2x+3)/(x^2-9) dx [integration by partial fraction]

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trig integral sin(x+sin(x))-sin(x-sin(x)) dx

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5 ways: integral ∫a^(px+q) dx

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