COMMON MISTAKE!: exp derivative d/dx(a^x) ≠ x a^(x-1)

#10 2023 MIT Integration Bee Qualifying Exam

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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx

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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 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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2nd way: derivative (x^x)^x

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MPPET 1996 Hindustan: trig integral ∫ sin^2(x) -cos^2(x)/(sin^2(x) cos^2(x)) dx

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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx

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Bijection of elements in tn & a pair of elements of (n+1)

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Show Σ(a+bk) = (a+1/2bn)(n+1)

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prob stat: Compute Var(X) when X represents the outcome when we roll a fair die.

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Always ZERO

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#9 2023 MIT Integration Bee Qualifying Exam

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#5 2020 MIT Integration Bee Quali Exam: integral 1/(x^2+(x-1)^2) dx

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#2 2023 MIT Integration Bee Qualifying Exam

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sum Find 1/1.4 + 1/4.7 +1/7.10+... +1/((3n-2)(3n+1))

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#3 2023 MIT Integration Bee Qualifying Exam

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#9 2020 MIT Integration Bee Quali Exam: integral ∫1/cosh^2(x) dx

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2nd way: ∫e^x/(e^2x + 2e^x +5) dx

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#2 2011 MIT Integration Bee Qualifying Exam

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3rd/3ways: trig integral ∫sec(x) dx

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