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1st way: lim ((1+h)^3-1)/h? as h→0
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1st way: exp ∫(e^x)/x (1+x log(x)) dx
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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(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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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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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx
CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx
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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx
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2nd way: integral ∫ log √x(x^n) dx
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Discrete rv X has the following prob. distribution
1st/2 parts stat: SLR ∑ŷk = ∑yk where k=1,n
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derivative (f(x))^n vs n^(g(x)) vs (f(x))^g(x)
2nd way: derivative (x/a)^n/(n-1) + (y/b)^n/(n-1) = 1
The number of solutions of the equation x^(log10(x)) = 100x
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Ganlu Temple... made me smile for no apparent reason.
A 2 digit number is equal to the sum of the product of its digits & the sum of its digits.
2nd/10parts: Logical complement
Show Σa=na where k=1 to n
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2 ways: Find ∫(ax^x+bx+c) dx