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Review: Arithmetic Series a+(a+d)+(a+2d)+...+(a+(n-1)d)=
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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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Pantun Melayu [Pulau Pandan Jauh Ke Tengah]
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logic Idempotent law show x=xVx
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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx
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1st/2ways: Find the sum 1/7, 10/21, 17/21, 24/21, 31/21 via median.
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2nd/3ways: trig integral ∫sec(x) dx
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review: When to use ... Sum of A.P n/2(a+l) vs n/2(2a+(n-1)d)
prob stat: Given events G & H:
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Evaluate these 7 integrals ...
Find the expected value & the std deviation in the number of '6's when 20 dice are rolled.
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2 way: exp integral e^(ax+b)/1+e^(ax+b)) dx
Let f(x) be a polynomial of degree 1. If f(10)-f(5)=15, then f(20)-f(5)=?
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2nd way: derivative y^2=4a(x+a sin(x/a))
JEE Main integral x^2/(a+bx)^2 dx
NYU: compute ∫ln(x)/x^2 dx
Lamar U 2nd way: evaluate trig integral ∫csc(x/2) cot(x/2)(csc^6(x/2)+3csc^4(x/2)-8csc(x/2)) dx
integral (a-x)/(b-x) dx
prob stat: The p.d.f of a discrete r.v. Y is given by P(Y=y)=cy^2 for y=0,1,2,3,4.