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1) integral ∫x/(1+x) dx vs 2) integral ∫sin(x) cos(x)/(1+ sin(x)) dx
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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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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(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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2nd way: trig inverse ∫(2012)^x (2012)^ arc (sin(2012)^x)√(1-(2012)^2x) dx
2nd way: exp integral e^3x/(e^x +2) dx withOUT u-sub
Alternate way: derivative If y=e^(a arc sin(x)), prove that (1-x^2)y2-xy1=a^2y
3 ways: exp integral ∫ln(e^x) + ln(e^(-x)) dx
Lamar U 2nd way: evaluate integral ∫1/(3x) + sec(9x)tan(9x)e^sec(9x) dx
derivative If y=acos(log(x)) + bsin(log(x)), prove that x^2y2+xy1+y=0
derivative If y=(a+bx)e^(-nx), prove that y2+2ny1+n^2y=0
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Let f(x,y)=4-2xx^2-y^2. Find the slope of the tangent line at the point (1,1,1) on the curve formed
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The number of solutions of the equation x^(log10(x)) = 100x
2nd way: trig integral ∫1/(a+b sin(x)+c cos(x)) dx
derivative If y=e^(a arc sin(x)), prove that (1-x^2)y2 - xy1 = a^2y.
NYU: 2nd way compute integral ∫x(1+x^2) dx
U of Arizona: For each integral decide which of the following is needed ....
Simplify the following statements using only the connectives ∧, ∨ and ¬