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review Differentiation [Implicit]
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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx
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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx
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inverse trig Derivative arc sin(x)
logic: tautology (¬p→q)∧(¬p→¬q) →p
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2 ways: trig integral ∫sin(√x) dx
Sum/Difference of 2 EVEN function is EVEN
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Alternate way: Derivative y=ln((x^4-8)^5/(x^6+5x)cos(x))
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2 ways: derivative a^f(g(x))
3 ways: sum Show 1+3+5+...nth term = n^2
sq root log derivative √ ln(f(x))
2 ways: derivative Find dy/dx for x cos(3y)+x^3y^5 = 3x-e^(xy)
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Solve cos^2(x) dy/dx +y = tan(x) via Integrating factor[IF]
Alternate way: log integral ∫1/(bx+xln(ax^r)) dx
Alternate way: exp derivative x^n
Which 3 are functions? Why the other 2 NOT?
If 4xe^(xy)=y+5sin^2(x) then find the value of y'(0)
1st/2ways: count perm Show P(n,n)=P(n,n-1) n≥2
William & Mary Math 112: trig integral x cos(3x) dx
Any function f is a sum of an EVEN & an ODD function