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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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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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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"
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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx
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integral ∫ x dx withOUT using Power rule.
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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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2nd way: integral ∫ log √x(x^n) dx
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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx
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2nd way: integral ∫ 1/(5x^2 -3x +7) dx with BONUS
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STPM Math T Sem. 2: Ex 11.2 Given that f(x)=tan(x), show that ...
2 way: exp integral e^(ax+b)/1+e^(ax+b)) dx
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Matriculation & Calculus: Show if y=f(x) g(x) h(x) k(x)
Find the power set of each of the following sets ...
2nd way: trig integral ∫sin(x/a) dx
derivative If y=e^(a arc sin(x)), prove that (1-x^2)y2 - xy1 = a^2y.
A random variable X has the following parameters: E(X)=a & Var(X)=2a^2-1 a∈R
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2nd way: ∫(x+3)/(x^2+6x)^2 dx vs ∫(x+3)(x^2+6x)^2 dx
2 ways: ∫1/(x^2+2x-3) dx