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2nd way: integral ∫1/(a + √√b (x^2)) 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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Solve the following differential equation cos^2(x)dy/dx +y = tan(x)
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I.B.P Derivation [Integration By Parts]
1st/2ways: permutation Show P(n,2)+P(n,1)=n^2
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Hooking your fingers, what a foul!
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Is 4cos^3(x)-3cos(x) EVEN, ODD, NEITHER, BOTH EVEN & ODD?
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derivative log f(g(x)) (a)
Growing patterns #3
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2 ways: exp integral ∫(p^x + q^x)/r^x dx
Review count Common mistake Rearrangement LOOT=4!/2 vs LULL NOT = 4!/3
Prove Σ1/((k-1)(k+1))=(3n^2-n-2)/(4n(n+1)) where k=2 to n ∀n ≥ 2
Solve the differential equation xcos^2(y) dx + tan(y) dy=0
prob & stat: Show Var(X)=E(X^2)-(E(X))^2
4th/10 part: Logical conjunction
2nd way: ∫x/(x^4+2x^2+2) dx
1st/3parts: "Exploding" dots game.
#19 2019 MIT Integration Bee Final
2nd way: ∫ (4x^2 +x +9)/((x^2+1)(x^2+3)) dx withOUT partial fraction