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AP Calculus: integral ∫ln(a+bx^2) dx
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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx
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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx
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AI 2008 Hindustan 2nd/2 ways: Evaluate trig integral ∫2cos(x)/(3 sin^3(x)) dx
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Bijection of elements in tn & a pair of elements of (n+1)
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2nd way: trig integral ∫1/(a+b sin(x)+c cos(x)) dx
#10 2023 MIT Integration Bee Qualifying Exam
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#9 2010 MIT Integration Bee Qualifying Exam
prob stat: Compute Var(X) when X represents the outcome when we roll a fair die.
Amaya & Ben integrated (1+x)^2 wrt x using different methods as follows ...
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2nd way: ∫2x/(x+5)^6 dx vs ∫2x (x+5)^6 dx
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UC Davis #22 [THE INTEGRATION OF RATIONAL FUNCTIONS] withOUT u-sub
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#6 2024 MIT Integration Bee Qualifying Exam
example Find 1+2+3+...+n via Pick's Theorem
JEE Main integral ∫x^5 /√(1+x^3) dx
Columbia U: 9th/9 ways Evaluate the indefinite integral ∫1/(1+e^x) dx withOUt u-sub