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

AP Calculus 2nd way trig integral ∫x^2 cos(x) dx

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Solve the following differential equation cos^2(x)dy/dx +y = tan(x)

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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx

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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx

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A box contains 8 blue & 6 red socks. What is the number of ways that 2 socks can be drawn ...

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Screen Recording 2024-02-16 at 8.23.14 PM

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AP Calculus 2nd way: integral ∫ (3^(x+1)-7^(x-1))/21^x dx

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GPT4: A tweet snippet from Michal Kosinski

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derivative Find d2y/dx2 for this function y=ln(x)/(1-x)

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A bag contains 5 red balls & 3 green balls. A ball is selected at random &

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Screen Recording 2024-02-22 at 10.23.21 PM

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Screen Recording 2024-02-22 at 10.18.05 PM

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2nd way: integral ∫ log n√x (x) dx

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1997 AP Calculus BC: If x=e^(2t) & y=sin(2t), then dy/dx=

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3 ways: exp integral ∫ln(e^x) + ln(e^(-x)) dx

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2nd way: exp integral ∫e^(1/x)/x^2 dx

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#8 Lamar U: evaluate integral sec^8(t/2) tan^5(t/2) dt

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2nd way: trig integral ∫(sec(x) tan(x))/(sec^2(x)-sec(x)) dx

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2 ways: trig integral ∫sec^2(ax+b) tan(ax+b) dx

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derivative (f(x)/g(x))^h(x)

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