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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"
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Solve the following differential equation cos^2(x)dy/dx +y = tan(x)
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integral ∫ x dx withOUT using Power rule.
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Screen Recording 2024-05-11 at 8.57.14 PM
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AI 2008 Hindustan 2nd/2 ways: Evaluate trig integral ∫2cos(x)/(3 sin^3(x)) dx
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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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2nd/3ways: trig integral ∫sec(x) dx
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1st way: exp ∫(e^x)/x (1+x log(x)) dx
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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx
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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx
MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx
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2nd way: integral ∫ log √x(x^n) dx
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prob stat: One sample of n=4 scores has a mean of M=10, &
Lamar U 2nd way: evaluate integral ∫1/(3x) + sec(9x)tan(9x)e^sec(9x) dx
prob stat: Events A & B are s.t P(A)=.3, P(B)=0.4, P(A n B)=0.1. Find a) P(AnB') b)P(A' n B')
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Evaluate these 9 integrals containing ...
1) integral ∫x/(1+x) dx vs 2) integral ∫sin(x) cos(x)/(1+ sin(x)) dx
#Screen Recording 2024-05-13 at 10.52.38 PM
Lamar U: #9 1st way: trig integral ∫sec^2(9x) tan^3(9x) dx
prob stat: The discrete r.v. W has prob dist. as shown