2 ways: trig Show (1-cos(x))/sin(x)=sin(x)/(1+cos(x))

The sum of 3 numbers in AP is 15 & the sum of their squares is 3. Find the numbers.

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logic Idempotent law show x=xVx

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Review: Linear form, Quadratic form & Bilinear form

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trig Write each expression as an equivalent algebraic expression involving only x.

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

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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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2 ways: sq root derivative 1/(√√(1/√x))

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

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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx

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3 picture views of the sum ... 1+2+3+...+n

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Let B be the mx1 col. matrix [1/m ... 1/m]'. If A =[a1 ... am] is any row matrix. What is AB?

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log 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫ln(ln(x))/x dx

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A couple has 6 children whose ages are 6,8,10,12,14,16. Find the variance in ages.

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3rd/3ways: exp Derivative x^x

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sq root log derivative √ ln(f(x))

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Screen Recording 2024-05-10 at 5.37.05 PM

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Subscribe for chanel

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2nd/2ways: count perm Show P(n,n)=P(n,n-1)

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1st/3ways: trig integral ∫sec(x) dx

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𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫1/(a^2+bx^2) dx

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