2nd way: trig differentiate (log(x))^cos(x)

Lamar U: trig integral ∫cos^5(2t) sin^2(2t) dt

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2nd/3ways: trig integral ∫sec(x) dx

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2nd way: integral ∫ log √x(x^n) dx

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Solve the following differential equation cos^2(x)dy/dx +y = tan(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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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx

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

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Screen Recording 2024-05-13 at 9.18.43 PM

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trig integral ∫sin(x) cos(x) cos(2x) cos(4x) cos(8x) cos(16x) cos(32x) dx

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Find the power set of X if a) X= {a,b} b) X={a,b,c}

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Mohammad Ali Jinnah University: Integrate the followings.

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1st/2ways: add math sum a + (a+d) + (a+2d) + ... + (a+(n-1)d) ?

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Juicer

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Show Σ(a+bk) = (a+1/2bn)(n+1)

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UC Davis: 4 ways exp integral ∫7^(2x+3) dx

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integration bee 2018 Swineburne U 2nd way 1/(x^3+x) dx

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The principal value of arc tan(tan(3π/5)

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1st/2ways: permutation Show P(n,2)+P(n,1)=n^2

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5 ways: trig derivative tan(x).

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3rd/3ways: sum Show 1+2+3+...+n = n(1+n)/2

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