1 View PremiumSep 22, 2023
Solve the following differential equation cos^2(x)dy/dx +y = tan(x)
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commutative: ab=ba via "picture"
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2 ways: sq root derivative 1/(√√(1/√x))
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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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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx
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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx
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🪔 Happy Deepavali 🪔 [Nov-12-2023]
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#shortDrama
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3rd/3 ways: Alternate way: Given 2 points, find equation of st line passing the ..
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Quickie: Find the value of √((470+160)(470-160) +2560)
derivative 2 ways: Find dy/dx if x-y=π
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sum Find 1/1.4 + 1/4.7 +1/7.10+... +1/((3n-2)(3n+1))
exp integral ∫a^x/b^x dx
Sum of Square vs Square of Sum
3 picture views of the sum ... 1+2+3+...+n
2nd/2ways: trig Evaluate (sin^6(x) + cos^6(x))/(sin^2(x) cos^2(x)) dx
2nd/3ways: sum Show 1+2+3+...+n=n(1+n)/2
Alternate way: 2nd picture Show 1+3+5+...+(2n-1)=n^2
2nd way: sqrt trig integral ∫1/(√x cos^2(√x)) dx