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2nd way: trig integral ∫1/(sin(x) cos(x)) dx
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3rd/3 ways: trig integral ∫ sin(ax+b) dx
If 2^x + 2^y = 2^(x+y), then dy/dx ?
prob stat: One sample of n=4 scores has a mean of M=10, &
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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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AI 2008 Hindustan 2nd/2 ways: Evaluate trig integral ∫2cos(x)/(3 sin^3(x)) dx
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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx
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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx
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2nd way: trig inverse ∫(2012)^x (2012)^ arc (sin(2012)^x)√(1-(2012)^2x) dx
2nd way: trig integral ∫√(sec^5(x)/sin^3(x)) dx
2nd/2ways: Taylor series of sin(x) [Maclaurin's series]
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Vandermonde's Identity
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1st/3 ways: Show 1+2+3+...+n=n(1+n)/2 via picture
Evaluate these 8 integrals of the form ∫(a-bx)^m dx
2 ways: exp integral ∫e^√x dx
rational function integrate ∫x^2/(x^6+a^6) dx
trig integral ∫sin(x) cos(x) cos(2x) cos(4x) cos(8x) cos(16x) cos(32x) dx
2nd way: 1) ∫1/(a + √b x^2) dx vs 2) ∫1/(a + √b x^2) dx
1st/2ways: Evaluate trig integral ∫1/(sin(x)+cos(x)) dx