alternate way: count sum 1+2+3+ ... +n

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

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logic Idempotent law show x=xVx

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What is π?

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

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

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2 ways: Find the derivative y=x^n logb(x)

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Screen Recording 2024-05-18 at 12.32.05 AM

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1st/2ways: 1+2+3+...+(n-1)+n+(n-1)+...+3+2+1 = n^2

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JEE Main integral x^2/(a+bx)^2 dx

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2nd/2 ways: [k-map] logic:Simplify the Boolean function F=A+A'B

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sum Find 1/1.4 + 1/4.7 +1/7.10+... +1/((3n-2)(3n+1))

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Sum/Difference of 2 EVEN function is EVEN

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sq root 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫1/(√x (1+√x))dx

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Screen Recording 2024-05-19 at 9.45.17 PM

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2nd/2parts example Show Σk^2 = ΣΣmin(i,j) where i,j,k=1 to n

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integration bee 2014 UNSW 2nd way: tan(x)/(sin(x) cos(x)) dx

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Screen Recording 2024-05-19 at 11.13.23 PM

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