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Suppose E & F are 2 complementary events. Must E & F be mutually exclusive? Explain your answer.
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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx
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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx
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1st/3parts: Checkpoint 1.1 STPM Math T Sem2
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Solve the following differential equation cos^2(x)dy/dx +y = tan(x)
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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"
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Review: Linear form, Quadratic form & Bilinear form
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diff eq: Solve dy/dx = (2y4x^4)/(xy^3) ❌separable to ✅separable
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AP Calculus 2nd way: trig integral ∫sin^2(x) cos^2(x) dx
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UC Davis #1: 2 ways Find the length of the graph for y=3x+2 on the closed interval ...
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2nd way: integral ∫(6+4x--2x^2) dx via 1) complete sq 2) then trig. sub
matrix example: How to select the column you want ...
matrix example: How to select the ROW you want ...
#10 2023 MIT Integration Bee Qualifying Exam
#3 UC Davis integrate ∫3/(4+x^(1/3)) dx via power sub
#17 2020 MIT Integration Bee Quali Exam:
Lamar U 2nd way: evaluate exp integral ∫e^(8x)(4+e^(4x))^(-3) dx
#12 UC Davis: Find the length of the graph for x=ln(y)=y^2/8 on the closed interval ...
A major influence of the classic "Romance of the Three Kingdoms": it established Guan Yu's appearanc
AP Calculus 2nd way trig ∫sin^3(x)/(cos(x)-1) dx