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Screen Recording 2024-05-05 at 11.28.23 PM
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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx
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Solve the following differential equation cos^2(x)dy/dx +y = tan(x)
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2nd/3ways: trig integral ∫sec(x) dx
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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"
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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx
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Review: Linear form, Quadratic form & Bilinear form
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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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Lamar U 2nd way: evaluate trig integral ∫17(xe^x+e^x)sin(e^x)-14sin(x) dx
AP Calculus 2nd way: trig integral ∫sin^2(x) cos^2(x) dx
Sum of Square vs Square of Sum
Calculus: If u=f(x+cy)+g(x-cy) then uxx / uyy ?
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[1080P60 NHK G] M 5.9 intensity 5- 2025-10-25 1:40 Off southeastern Nemuro Peninsula
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5 ways: trig Derivative of sin^2(x)
derivative If y=e^(a arc sin(x)), prove that (1-x^2)y2 - xy1 = a^2y.
Screen Recording 2024-02-22 at 10.13.28 PM
prob stat It is known that P(X)=1/2 & P(Y)=1/4. Given that X & Y are mutually exclusive, find
Show that the function u(x,y)=e^x cos(y) is harmonic in the x-y plane
prob stat The events A & B are s.t P(A)=5/12, P(B)=2/3 & P(A' n B')=1/12.