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2 ways: integral ∫(x-a)/(x+a) dx
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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(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
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Pantun Melayu [Pulau Pandan Jauh Ke Tengah]
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Penn. State U: Suppose the p.m.f of discrete random variable X is ...
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DP WORLD ASIA CUP 2025 SUPER FOUR, MATCH 2 INDIA vs PAKISTAN FULL HIGHLIGHTS -
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Screen Recording 2023-12-06 at 3.07.30 AM
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STPM Math T Sem2: Find the Maclaurin series for xe^(-x) [ahp kia]
prob stat: Find the expected value & std deviation in the number of '6's when 20 dice are rolled.
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alternate way: count sum 1+2+3+ ... +n
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examples: 2x2 matrix which is its own inverse
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
Median [special weighted mean]
2 ways: 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫3x/((x-2)(x+1)) dx
prob stat: We begin with a sample of n=5 scores with ∑x=35 & M=7. ...
Lamar U #12 trig integral sec^4(2t)/tan^9(2t) dt
Vandermonde's Identity
Purdue U: trig integral ∫tan^3(x) sec^2(x) dx =? where x=0 to pi/4
3 ways: trig 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫sin(ax+b) dx