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[40$] Alicia Lyttle – AI Consultant Certification
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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx
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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx
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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx
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2nd way: integral ∫ log √x(x^n) dx
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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"
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2nd way: integral ∫x^k ln(x) dx = x^(k+1)/(k+1) ln(x) - x^(k+1)/(k+1)^2 + C where C ≠ -1
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Home organic vegetables
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exp Differentiate (i) b^e^x (ii) b^x&e (iii) (b^e)^x (iv) (b^x)^e
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2nd/3part: Maclaurin Series [ahp kia]
If y=acos(ln(x)) + bsin(ln(x)), show that x^2y2 + xy1 +y=0
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[35$] Learngovcon – The Legal Middleman Method (Course)
AI 2008 Hindustan 2nd/2 ways: Evaluate trig integral ∫2cos(x)/(3 sin^3(x)) dx
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trig Prove each identity ... 1) to 10)
Solve x(x-1)dy/dx - (x-2)y=x^3(2x-1) via Integrating Facto[IF]
3 ways: Derivative x^(-1/x)
Cancellation Law ❌ Matrices
2nd part/3parts: Mean of -11,-2,7,...,70 SAME as Mean -11 & 70
4 ways: Evaluate Σ(2k+1) k=1,20
3rd/3 ways: Express (4x-17)/((x+4)(2x-3)) in partial fractions via withOUT cover rule