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2024 #3 MIT Integration Bee Final Lightning Round
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Solve the following differential equation cos^2(x)dy/dx +y = tan(x)
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Review: Linear form, Quadratic form & Bilinear form
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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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trig Write each expression as an equivalent algebraic expression involving only x.
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logic Idempotent law show x=xVx
MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx
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STPM Math T Sem. 2: Ex 11.2 Given that f(x)=tan(x), show that ...
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prob stat: One sample of n=4 scores has a mean of M=10, &
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2024 MIT Integration Bee Final
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exp integral ∫ (e^2x -1) /(e^2x +1)dx
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alternate way: ∫ √(x^2+a^2 )dx via "expressing in 2 ways"
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Texas Tech: Find integral #7 ∫xsin(x^2) dx vs #5 ∫xsin^2(x) dx
The sum of 3 numbers in AP is 15 & the sum of their squares is 3. Find the numbers.
3rd/3ways: Laplace Show that ...
I.B.P Derivation [Integration By Parts]
2nd/2ways: count perm Show P(n,n)=P(n,n-1)
exp integral ∫a^(√√x^3)/√√x dx
UC Davis#2: 2nd way integral ∫(2x+3)/(x^2-9) dx [integration by partial fraction]
Do you know ... paper folding ...