1 View PremiumMay 29, 2023
1st/2ways: exp e^g(x) (g'(x)f(x) + f'(x)) dx
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2nd way: integral ∫ log √x(x^n) dx
33 Views
MPPET 1996 Hindustan: trig integral ∫ sin^2(x) -cos^2(x)/(sin^2(x) cos^2(x)) dx
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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx
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integral ∫x^2/√(x^2+a^2) dx
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2nd way: trig integral ∫x sin(ax^2-b^2) dx
count quick review: Permutation vs Combination
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derivative differentiate √((x-3)(x^2+4)/(3x^2+4x+5))
trig integral ∫sin(2x) cos(2x) / (9-cos^4(2x)) dx
trig integral ∫sin(2x) cos(2x)/(9-cos^4(2x)) dx
Common log mistake: logb(xy^n) ≠ nlogb(xy)
derivative differentiate x^x - 2^sin(x)
alternate way: count sum 1+2+3+ ... +n
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2 ways: integral ∫x/(x+a) dx
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trig integral ∫1/cos(ax+b) dx
exp integral ∫1/(e^(ax+b) (1+e^(ax+b)) dx
Evaluate these 8 integrals of the form ∫(a-bx)^m dx
trig integral cos(a√x +b) dx
Find the number of subsets {1,{2,3}}
inverse trig integral ∫x^2 arc tan(x^3)/(1+x^6) dx