1 View PremiumOct 28, 2023
If y=acos(ln(x)) + bsin(ln(x)), show that x^2y2 + xy1 +y=0
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Review: Linear form, Quadratic form & Bilinear form
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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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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx
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1st way: exp ∫(e^x)/x (1+x log(x)) dx
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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx
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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx
CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx
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2nd way: integral ∫ log √x(x^n) dx
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integral ∫x^2/√(x^2+a^2) dx
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Show integral ∫x √(ax+b) dx = 2(3ax-2b)√(ax+b)^3 /(15a^2)
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sum: Find a close formula for 2,3,14,24,37,...
Cancellation Law ❌ Matrices
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2 ways: ∫ 1/(10x^2 -x-21) dx
2nd/3part: Maclaurin Series [ahp kia]
#Screen Recording 2024-05-13 at 10.52.38 PM
NYU: 2 ways compute log integral ∫ln(x) dx
STPM Math T Sem2: Find the Maclaurin series for xe^(-x) [ahp kia]
derivative y=f(logb(arc tan(px+q))
1st/2 parts: Inverse 2x2 matrix