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Solve the following differential equation cos^2(x)dy/dx +y = tan(x)
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STPM Math T Sem. 2: Ex 11.2 Given that f(x)=tan(x), show that ...
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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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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx
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2nd way: derivative (x^x)^x
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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx
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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx
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Conversion: Permutation - Combination vice versa
anime quest
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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.
Mohammad Ali Jinnah University: Integrate the followings.
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Pascal's triangle nth triangular number [examples]
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commutative: ab=ba via "picture"
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sq root integral ∫1/√...√√x dx with n √
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sq root derivative √'(f(x)
Underwater Party King
1st/2 ways: Show derivative d(arc sin(x))/dx = 1/√(1-x^2)
2nd/2ways: add math sum a + (a+d) + (a+2d) + ... + (a+(n-1)d) ?
Zhu Zhu's first time... actually ended in a blackout!
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