#8 2014 MIT Integration Bee Qualifying Exam

2nd/2 ways: Alternate way: Given 2 points, find equation of st line passing the ..

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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx

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🪔 Happy Deepavali 🪔 [Nov-12-2023]

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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"

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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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

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1st/2ways: Find the sum 1/7, 10/21, 17/21, 24/21, 31/21 via median.

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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 integral ∫sec(x) dx =

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Find the equation of the tangent line to the curve x^3-3y^3+xy+21=0 at the point (1,2)

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2 ways: diff eq Solve dy/dx-x^2=0

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4 ways: sum Find the sum of the values of 4+3i for i=1,2,...,100

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6th form Pure Math: Evaluate the integrals

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1st/2parts 3 ways: tn-1 + tn = n^2 where tn = nth triangular number

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2nd way: integral ∫log n√(ax+b)(ax+b) dxx

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2nd/3part: Maclaurin Series [ahp kia]

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log sq root integral ∫ln(√ x^3)/√ √ x dx

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2 ways: Derivative √ (1+√ (1+√ x)))

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Is Trump Mad? The Hidden Logic Behind Tariffs and H-1B

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Review: trig tan(x+360)= tan(x) & tan(x+180)=tan(x)

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