Discrete rv X has the following prob. distribution

5 ways: integral ∫a^(px+q) dx

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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(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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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx

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

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integral ∫ x dx withOUT using Power rule.

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

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AP Calculus 3rd way: exp integral 1/(1+e^x) dx [withOUT u-sub]

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Matriculation & Calculus: Show if y=f(x) g(x) h(x) k(x)

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

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1st/2 way: Expand e^sin(x) by Maclaurin's Theorem

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Screen Recording 2024-02-22 at 10.18.05 PM

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prob stat The events A & B are s.t P(A)=5/12, P(B)=2/3 & P(A' n B')=1/12.

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Screen Recording 2024-02-22 at 10.23.21 PM

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2nd way: integral ∫x/(2ax-x^2) dx

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#22 2019 MIT Integration Bee Final

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A random variable X has the following parameters: E(X)=a & Var(X)=2a^2-1 a∈R

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example: Mean, Median & Mode

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