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review: When to use ... Sum of A.P n/2(a+l) vs n/2(2a+(n-1)d)
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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"
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1st way: exp ∫(e^x)/x (1+x log(x)) dx
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logic Idempotent law show x=xVx
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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx
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Review: Linear form, Quadratic form & Bilinear form
AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx
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diff eq: Solve dy/dx = (2y4x^4)/(xy^3) ❌separable to ✅separable
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JEE Main integral x^2/(a+bx)^2 dx
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The sum of 3 numbers in AP is 15 & the sum of their squares is 3. Find the numbers.
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Evaluate these 7 integrals ...
prpob stat A bag contains 5 black balls 6 red balls. Determine the number of ways in which ...
Review: Arithmetic Series a+(a+d)+(a+2d)+...+(a+(n-1)d)=
Lamar U: Use log. differentiation to find the 1st derivative of the given function
Show integral 1/(x^2(x^2+a^2)) dx = -1/(a^2x) - 1/a^3 arc tan(x/a)
Why the mean of AP is the median of AP? mean=median?
Show integral ∫x √(ax+b) dx = 2(3ax-2b)√(ax+b)^3 /(15a^2)
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Lamar U 2nd way: evaluate integral ∫√(1+2ln(7x))/2 +10x^3/(x^4 +9) dx
Solve the differential equation xcos^2(y) dx + tan(y) dy=0
Evaluate these 9 integrals containing ...