UT Austin: trig sq root integral ∫1/(sin(x) + cos(x)) dxsin(√x)/√(x cos^3(√x)) dx

Example: Find the sum

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

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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx

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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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2nd way: integral ∫ log √x(x^n) dx

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

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1st/4 ways: integral ∫1/(x + √x) dx

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3 ways: Derivative x^(-1/x)

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exp integral e^x (f(x) + f'(x)) dx

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Determine the equation of the normal drawn to the astroid ...

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#5 MIT 2022 Integration Bee Qualifying Exam

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Solve √(2x-5) -√(x-2) = 2

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A bag contains 20 identical red marbles, 20 identical green marbles, & 20 identical blue marbles.

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Alternate way: Derivative y=ln((x^4-8)^5/(x^6+5x)cos(x))

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2nd/2 ways: FInd partial fractions (3x^2+9x-20)/(x^2+x-6)

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3rd way: nCr = (n-1)Cr + (n-1)C(r-1)

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1st way: Differentiate the function w.r.t x log10(x)+logx(10)+logx(x)+log10(10)

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trig integral ∫sin^5(x) dx

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Which 3 are functions? Why the other 2 NOT?

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2nd/2ways: Find lim (z^3-8)/(z-2) for z tends to 2

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