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UC Davis #16: Prove (fgh)'=f'gh+fg'h+fgh' [differentiation using the product rule]
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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx
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diff eq: Solve dy/dx = (2y4x^4)/(xy^3) ❌separable to ✅separable
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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx
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trig Write each expression as an equivalent algebraic expression involving only x.
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Columbia U: 9th/9 ways Evaluate the indefinite integral ∫1/(1+e^x) dx withOUt u-sub
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If pv^a=C (where a & C are constant) find dv/dp & d2v/dp2
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prob stat It is known that P(X)=1/2 & P(Y)=1/4. Given that X & Y are mutually exclusive, find
CMU integral ∫1/(x^2 √(16x^2 -19)) dx
8Screen Recording 2023-12-07 at 1.55.57 AM
Let B be the mx1 col. matrix [1/m ... 1/m]'. If A =[a1 ... am] is any row matrix. What is AB?
#15 2022 MIT Integration Bee Qualifying Exam
Differentiate the function y= x^3 (1+x)^2 /((1-x)^4 (1+2x)^2)
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Which of the following statements are true, & why?
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A random variable X has the following parameters: E(X)=a & Var(X)=2a^2-1 a∈R
2nd way: sq rt integral ∫(√x)/(x+1) dx
2nd way: ∫(x+3)/(x^2+6x)^2 dx vs ∫(x+3)(x^2+6x)^2 dx
sum Find 1/1.4 + 1/4.7 +1/7.10+... +1/((3n-2)(3n+1))
Express the sum of the digits of the number (1000^20 - 20) in decimal notation
UC Davis#4 4 ways: integrate 7^(2x+3) dx