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4 ways: derivative x(log(x)-1)
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1st way: exp ∫(e^x)/x (1+x log(x)) dx
8 Views
AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx
11 Views
MPPET 1996 Hindustan: trig integral ∫ sin^2(x) -cos^2(x)/(sin^2(x) cos^2(x)) dx
16 Views
MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx
2nd way: integral ∫ log √x(x^n) dx
34 Views
CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx
10 Views
2 ways: 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫3x/((x-2)(x+1)) dx
2 ways: integral ∫x√(1-x) dx
inverse trig integral ∫x^2 arc tan(x^3)/(1+x^6) dx
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logic: tautology (¬p→q)∧(¬p→¬q) →p
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3 ways: Find 1+2+3+ ... + n^2.
trig integral ∫1/(cos^2(a+bx) √(p^2-qtan(a+bx)) )dx
Careful: arc sin(sin(5π/4)) ≠ ...
2nd/2 ways: [k-map] logic:Simplify the Boolean function F=A+A'B
2 ways: sq root derivative 1/(√√(1/√x))
partial Let f(x,y,z)=x e^(yz). Compute fxzy & fyxz.
logic: Show p→q ≡¬ p∨q
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prob stat: Consider the experiment of tossing a fair coin twice & reading the up face on each toss.
Find the number of digits in mole [6.02x10^23]