2nd way: trig inverse ∫(2012)^x (2012)^ arc (sin(2012)^x)√(1-(2012)^2x) dx

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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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2nd/3ways: trig integral ∫sec(x) dx

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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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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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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx

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Lamar U 2nd way: evaluate trig integral ∫17(xe^x+e^x)sin(e^x)-14sin(x) dx

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5 ways: trig Derivative of sin^2(x)

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prob stat The events A & B are s.t P(A)=5/12, P(B)=2/3 & P(A' n B')=1/12.

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Show that the function u(x,y)=e^x cos(y) is harmonic in the x-y plane

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prob stat It is known that P(X)=1/2 & P(Y)=1/4. Given that X & Y are mutually exclusive, find

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matrix example: How to select the ROW you want ...

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

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NYU: 2nd way compute integral ∫x(1+x^2) dx

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exp integral ∫x^2 e^(-2) dx

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multivariable Let w=x^2y-xy^3 where x=cos(t) & y=e^t. Find dw/dt & its value when t=0.

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