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2nd way: Evaluate integral ∫x^2/√(19-x^2) dx
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Solve the following differential equation cos^2(x)dy/dx +y = tan(x)
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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx
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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx
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2nd way: derivative (x^x)^x
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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx
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A box contains 8 blue & 6 red socks. What is the number of ways that 2 socks can be drawn ...
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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx
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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx
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2nd way: exp integral ∫e^(1/x)/x^2 dx
2nd way: sqrt trig integral ∫1/(√x cos^2(√x)) dx
derivative If y=(a+bx)e^(-nx), prove that y2+2ny1+n^2y=0
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2nd way: trig integral ∫1/(a+b sin(x)+c cos(x)) dx
2nd way: trig integral ∫ √sec^5(x)/√sin^3(x) dx
2nd way trig integral ∫(1-tan(x))/(1+tan(x)) dx
2nd way: ∫2x/(x+5)^6 dx vs ∫2x (x+5)^6 dx
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2nd way: ∫1/(√(1-x^2)(1+arc sin(x))^2) dx
2nd way: derivative y^2=4a(x+a sin(x/a))
2nd way: trig integral ∫1/(1+sec(x)) dx
2nd way: log sqr integral ∫ln(x)/x dx