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2 ways: integral ∫(x-a)/(x+a) dx
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Solve the following differential equation cos^2(x)dy/dx +y = tan(x)
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A box contains 8 blue & 6 red socks. What is the number of ways that 2 socks can be drawn ...
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exp Differentiate (i) b^e^x (ii) b^x&e (iii) (b^e)^x (iv) (b^x)^e
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2nd way: integral ∫ log √x(x^n) dx
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2 ways: sq root derivative 1/(√√(1/√x))
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kimi ni Todoke Sawako Kurunoma
Lamar U 2nd way: evaluate trig integral ∫17(xe^x+e^x)sin(e^x)-14sin(x) dx
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Example: Find the sum
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Solve cos^2(x) dy/dx +y = tan(x) via Integrating factor[IF]
1) integral ∫ 1/(1+x^2) dx 2) integral ∫ e^x/(1+e^(2x)) dx 3) integral ∫ cos(x)/(1+sin^2(x)) dx
pascal triangle: count comb Show nCk = (n-1)Ck + (n-1)C(k-1)
exp trig derivative x^x sin(x)
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2nd/2ways: count perm Show P(n,n)=P(n,n-1)
2 ways: trig exp derivative e^(sin(x)) sin(e^x)
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Texas Tech: 5 ways trig Differentiate g(x)=cos^2(x)
Diff Equ: Solve y-xdy/dx=b(1+x^2dy/dx)) via integrating factor [IF]
2nd way: integral ∫(6+4x--2x^2) dx via 1) complete sq 2) then trig. sub
2nd/3ways: derivative If f(x)=(x-a)(x-b)(x-c), show f'(x)/f(x)=1/(x-1)+1/(x-b)+1/(x-c)
IGCSE 2023 p2 Add Math #4